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Finding the Third Proportional to 504,498.38 and 755,357.91

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Solution

The third proportional to 504,498.38 and 755,357.91 is: 1,130,956.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,498.38 : 755,357.91 = 755,357.91 : x
  2. Step 2: Convert to fraction form
    504,498.38/755,357.91 = 755,357.91/x
  3. Step 3: Cross multiply
    504,498.38x = 755,357.91 × 755,357.91
  4. Step 4: Simplify right side
    504,498.38x = 570,565,566,534.38
  5. Step 5: Solve for x
    x = 570,565,566,534.38/504,498.38
  6. Step 6: Final answer
    x = 1,130,956.20

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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.