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Finding the Third Proportional to 585,730.13 and 905,140.13

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Solution

The third proportional to 585,730.13 and 905,140.13 is: 1,398,730.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,730.13 : 905,140.13 = 905,140.13 : x
  2. Step 2: Convert to fraction form
    585,730.13/905,140.13 = 905,140.13/x
  3. Step 3: Cross multiply
    585,730.13x = 905,140.13 × 905,140.13
  4. Step 4: Simplify right side
    585,730.13x = 819,278,645,885.02
  5. Step 5: Solve for x
    x = 819,278,645,885.02/585,730.13
  6. Step 6: Final answer
    x = 1,398,730.59

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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.