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Finding the Third Proportional to 359,746.31 and 832,912.88

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Solution

The third proportional to 359,746.31 and 832,912.88 is: 1,928,425.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,746.31 : 832,912.88 = 832,912.88 : x
  2. Step 2: Convert to fraction form
    359,746.31/832,912.88 = 832,912.88/x
  3. Step 3: Cross multiply
    359,746.31x = 832,912.88 × 832,912.88
  4. Step 4: Simplify right side
    359,746.31x = 693,743,857,340.77
  5. Step 5: Solve for x
    x = 693,743,857,340.77/359,746.31
  6. Step 6: Final answer
    x = 1,928,425.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.