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Finding the Third Proportional to 292,897 and 634,637

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Solution

The third proportional to 292,897 and 634,637 is: 1,375,104.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,897 : 634,637 = 634,637 : x
  2. Step 2: Convert to fraction form
    292,897/634,637 = 634,637/x
  3. Step 3: Cross multiply
    292,897x = 634,637 × 634,637
  4. Step 4: Simplify right side
    292,897x = 402,764,121,769
  5. Step 5: Solve for x
    x = 402,764,121,769/292,897
  6. Step 6: Final answer
    x = 1,375,104.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.