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Finding the Third Proportional to 537,120 and 726,894

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Solution

The third proportional to 537,120 and 726,894 is: 983,718.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,120 : 726,894 = 726,894 : x
  2. Step 2: Convert to fraction form
    537,120/726,894 = 726,894/x
  3. Step 3: Cross multiply
    537,120x = 726,894 × 726,894
  4. Step 4: Simplify right side
    537,120x = 528,374,887,236
  5. Step 5: Solve for x
    x = 528,374,887,236/537,120
  6. Step 6: Final answer
    x = 983,718.51

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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.