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Finding the Third Proportional to 460,279.13 and 619,147.13

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Solution

The third proportional to 460,279.13 and 619,147.13 is: 832,849.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,279.13 : 619,147.13 = 619,147.13 : x
  2. Step 2: Convert to fraction form
    460,279.13/619,147.13 = 619,147.13/x
  3. Step 3: Cross multiply
    460,279.13x = 619,147.13 × 619,147.13
  4. Step 4: Simplify right side
    460,279.13x = 383,343,162,395.77
  5. Step 5: Solve for x
    x = 383,343,162,395.77/460,279.13
  6. Step 6: Final answer
    x = 832,849.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.