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Finding the Third Proportional to 729,990 and 976,461

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Solution

The third proportional to 729,990 and 976,461 is: 1,306,149.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,990 : 976,461 = 976,461 : x
  2. Step 2: Convert to fraction form
    729,990/976,461 = 976,461/x
  3. Step 3: Cross multiply
    729,990x = 976,461 × 976,461
  4. Step 4: Simplify right side
    729,990x = 953,476,084,521
  5. Step 5: Solve for x
    x = 953,476,084,521/729,990
  6. Step 6: Final answer
    x = 1,306,149.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.