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Finding the Third Proportional to 588,386 and 881,789

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Solution

The third proportional to 588,386 and 881,789 is: 1,321,499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,386 : 881,789 = 881,789 : x
  2. Step 2: Convert to fraction form
    588,386/881,789 = 881,789/x
  3. Step 3: Cross multiply
    588,386x = 881,789 × 881,789
  4. Step 4: Simplify right side
    588,386x = 777,551,840,521
  5. Step 5: Solve for x
    x = 777,551,840,521/588,386
  6. Step 6: Final answer
    x = 1,321,499.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.