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Finding the Third Proportional to 368,864 and 585,552

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Solution

The third proportional to 368,864 and 585,552 is: 929,532.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,864 : 585,552 = 585,552 : x
  2. Step 2: Convert to fraction form
    368,864/585,552 = 585,552/x
  3. Step 3: Cross multiply
    368,864x = 585,552 × 585,552
  4. Step 4: Simplify right side
    368,864x = 342,871,144,704
  5. Step 5: Solve for x
    x = 342,871,144,704/368,864
  6. Step 6: Final answer
    x = 929,532.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.