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Finding the Third Proportional to 537,113 and 726,883

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Solution

The third proportional to 537,113 and 726,883 is: 983,701.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,113 : 726,883 = 726,883 : x
  2. Step 2: Convert to fraction form
    537,113/726,883 = 726,883/x
  3. Step 3: Cross multiply
    537,113x = 726,883 × 726,883
  4. Step 4: Simplify right side
    537,113x = 528,358,895,689
  5. Step 5: Solve for x
    x = 528,358,895,689/537,113
  6. Step 6: Final answer
    x = 983,701.56

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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.