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Finding the Third Proportional to 288,552,822.75 and 585,134,966.25

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Solution

The third proportional to 288,552,822.75 and 585,134,966.25 is: 1,186,551,999.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,552,822.75 : 585,134,966.25 = 585,134,966.25 : x
  2. Step 2: Convert to fraction form
    288,552,822.75/585,134,966.25 = 585,134,966.25/x
  3. Step 3: Cross multiply
    288,552,822.75x = 585,134,966.25 × 585,134,966.25
  4. Step 4: Simplify right side
    288,552,822.75x = 342,382,928,728,388,608
  5. Step 5: Solve for x
    x = 342,382,928,728,388,608/288,552,822.75
  6. Step 6: Final answer
    x = 1,186,551,999.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.