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Finding the Third Proportional to 347,769 and 732,897

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Solution

The third proportional to 347,769 and 732,897 is: 1,544,525.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,769 : 732,897 = 732,897 : x
  2. Step 2: Convert to fraction form
    347,769/732,897 = 732,897/x
  3. Step 3: Cross multiply
    347,769x = 732,897 × 732,897
  4. Step 4: Simplify right side
    347,769x = 537,138,012,609
  5. Step 5: Solve for x
    x = 537,138,012,609/347,769
  6. Step 6: Final answer
    x = 1,544,525.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.