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Finding the Third Proportional to 287,366 and 624,470

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Solution

The third proportional to 287,366 and 624,470 is: 1,357,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,366 : 624,470 = 624,470 : x
  2. Step 2: Convert to fraction form
    287,366/624,470 = 624,470/x
  3. Step 3: Cross multiply
    287,366x = 624,470 × 624,470
  4. Step 4: Simplify right side
    287,366x = 389,962,780,900
  5. Step 5: Solve for x
    x = 389,962,780,900/287,366
  6. Step 6: Final answer
    x = 1,357,024.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.