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Finding the Third Proportional to 537,124 and 726,897

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Solution

The third proportional to 537,124 and 726,897 is: 983,719.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,124 : 726,897 = 726,897 : x
  2. Step 2: Convert to fraction form
    537,124/726,897 = 726,897/x
  3. Step 3: Cross multiply
    537,124x = 726,897 × 726,897
  4. Step 4: Simplify right side
    537,124x = 528,379,248,609
  5. Step 5: Solve for x
    x = 528,379,248,609/537,124
  6. Step 6: Final answer
    x = 983,719.31

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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.