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Finding the Third Proportional to 542,666.46 and 797,742.42

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Solution

The third proportional to 542,666.46 and 797,742.42 is: 1,172,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,666.46 : 797,742.42 = 797,742.42 : x
  2. Step 2: Convert to fraction form
    542,666.46/797,742.42 = 797,742.42/x
  3. Step 3: Cross multiply
    542,666.46x = 797,742.42 × 797,742.42
  4. Step 4: Simplify right side
    542,666.46x = 636,392,971,658.99
  5. Step 5: Solve for x
    x = 636,392,971,658.99/542,666.46
  6. Step 6: Final answer
    x = 1,172,714.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.