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Finding the Third Proportional to 252,013.78 and 390,128.91

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Solution

The third proportional to 252,013.78 and 390,128.91 is: 603,937.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,013.78 : 390,128.91 = 390,128.91 : x
  2. Step 2: Convert to fraction form
    252,013.78/390,128.91 = 390,128.91/x
  3. Step 3: Cross multiply
    252,013.78x = 390,128.91 × 390,128.91
  4. Step 4: Simplify right side
    252,013.78x = 152,200,563,491.82
  5. Step 5: Solve for x
    x = 152,200,563,491.82/252,013.78
  6. Step 6: Final answer
    x = 603,937.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.