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Finding the Third Proportional to 462,645.42 and 690,117.47

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Solution

The third proportional to 462,645.42 and 690,117.47 is: 1,029,432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,645.42 : 690,117.47 = 690,117.47 : x
  2. Step 2: Convert to fraction form
    462,645.42/690,117.47 = 690,117.47/x
  3. Step 3: Cross multiply
    462,645.42x = 690,117.47 × 690,117.47
  4. Step 4: Simplify right side
    462,645.42x = 476,262,120,673.91
  5. Step 5: Solve for x
    x = 476,262,120,673.91/462,645.42
  6. Step 6: Final answer
    x = 1,029,432.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.