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Finding the Third Proportional to 368,816 and 569,600

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Solution

The third proportional to 368,816 and 569,600 is: 879,691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,816 : 569,600 = 569,600 : x
  2. Step 2: Convert to fraction form
    368,816/569,600 = 569,600/x
  3. Step 3: Cross multiply
    368,816x = 569,600 × 569,600
  4. Step 4: Simplify right side
    368,816x = 324,444,160,000
  5. Step 5: Solve for x
    x = 324,444,160,000/368,816
  6. Step 6: Final answer
    x = 879,691.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.