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Finding the Third Proportional to 377,262 and 588,856.13

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Solution

The third proportional to 377,262 and 588,856.13 is: 919,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,262 : 588,856.13 = 588,856.13 : x
  2. Step 2: Convert to fraction form
    377,262/588,856.13 = 588,856.13/x
  3. Step 3: Cross multiply
    377,262x = 588,856.13 × 588,856.13
  4. Step 4: Simplify right side
    377,262x = 346,751,535,950.02
  5. Step 5: Solve for x
    x = 346,751,535,950.02/377,262
  6. Step 6: Final answer
    x = 919,126.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.