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Finding the Third Proportional to 537,088 and 752,898

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Solution

The third proportional to 537,088 and 752,898 is: 1,055,423.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,088 : 752,898 = 752,898 : x
  2. Step 2: Convert to fraction form
    537,088/752,898 = 752,898/x
  3. Step 3: Cross multiply
    537,088x = 752,898 × 752,898
  4. Step 4: Simplify right side
    537,088x = 566,855,398,404
  5. Step 5: Solve for x
    x = 566,855,398,404/537,088
  6. Step 6: Final answer
    x = 1,055,423.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.