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Finding the Third Proportional to 585,748.13 and 905,167.13

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Solution

The third proportional to 585,748.13 and 905,167.13 is: 1,398,771.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,748.13 : 905,167.13 = 905,167.13 : x
  2. Step 2: Convert to fraction form
    585,748.13/905,167.13 = 905,167.13/x
  3. Step 3: Cross multiply
    585,748.13x = 905,167.13 × 905,167.13
  4. Step 4: Simplify right side
    585,748.13x = 819,327,524,180.77
  5. Step 5: Solve for x
    x = 819,327,524,180.77/585,748.13
  6. Step 6: Final answer
    x = 1,398,771.06

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Why These Related Problems?

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