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Finding the Third Proportional to 557,688 and 752,453

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Solution

The third proportional to 557,688 and 752,453 is: 1,015,237.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,688 : 752,453 = 752,453 : x
  2. Step 2: Convert to fraction form
    557,688/752,453 = 752,453/x
  3. Step 3: Cross multiply
    557,688x = 752,453 × 752,453
  4. Step 4: Simplify right side
    557,688x = 566,185,517,209
  5. Step 5: Solve for x
    x = 566,185,517,209/557,688
  6. Step 6: Final answer
    x = 1,015,237.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.