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Finding the Third Proportional to 537,114 and 726,885

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Solution

The third proportional to 537,114 and 726,885 is: 983,705.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,114 : 726,885 = 726,885 : x
  2. Step 2: Convert to fraction form
    537,114/726,885 = 726,885/x
  3. Step 3: Cross multiply
    537,114x = 726,885 × 726,885
  4. Step 4: Simplify right side
    537,114x = 528,361,803,225
  5. Step 5: Solve for x
    x = 528,361,803,225/537,114
  6. Step 6: Final answer
    x = 983,705.14

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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.