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Finding the Third Proportional to 291,792 and 437,688

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Solution

The third proportional to 291,792 and 437,688 is: 656,532

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,792 : 437,688 = 437,688 : x
  2. Step 2: Convert to fraction form
    291,792/437,688 = 437,688/x
  3. Step 3: Cross multiply
    291,792x = 437,688 × 437,688
  4. Step 4: Simplify right side
    291,792x = 191,570,785,344
  5. Step 5: Solve for x
    x = 191,570,785,344/291,792
  6. Step 6: Final answer
    x = 656,532

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.