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Finding the Third Proportional to 397,770.75 and 602,434.13

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Solution

The third proportional to 397,770.75 and 602,434.13 is: 912,402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,770.75 : 602,434.13 = 602,434.13 : x
  2. Step 2: Convert to fraction form
    397,770.75/602,434.13 = 602,434.13/x
  3. Step 3: Cross multiply
    397,770.75x = 602,434.13 × 602,434.13
  4. Step 4: Simplify right side
    397,770.75x = 362,926,874,964.52
  5. Step 5: Solve for x
    x = 362,926,874,964.52/397,770.75
  6. Step 6: Final answer
    x = 912,402.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.