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Finding the Third Proportional to 561,036.38 and 841,336.88

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Solution

The third proportional to 561,036.38 and 841,336.88 is: 1,261,678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,036.38 : 841,336.88 = 841,336.88 : x
  2. Step 2: Convert to fraction form
    561,036.38/841,336.88 = 841,336.88/x
  3. Step 3: Cross multiply
    561,036.38x = 841,336.88 × 841,336.88
  4. Step 4: Simplify right side
    561,036.38x = 707,847,737,234.77
  5. Step 5: Solve for x
    x = 707,847,737,234.77/561,036.38
  6. Step 6: Final answer
    x = 1,261,678.87

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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.