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Finding the Third Proportional to 425,214 and 652,461.75

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Solution

The third proportional to 425,214 and 652,461.75 is: 1,001,157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,214 : 652,461.75 = 652,461.75 : x
  2. Step 2: Convert to fraction form
    425,214/652,461.75 = 652,461.75/x
  3. Step 3: Cross multiply
    425,214x = 652,461.75 × 652,461.75
  4. Step 4: Simplify right side
    425,214x = 425,706,335,213.06
  5. Step 5: Solve for x
    x = 425,706,335,213.06/425,214
  6. Step 6: Final answer
    x = 1,001,157.85

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.