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Finding the Third Proportional to 425,417.06 and 658,638.84

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Solution

The third proportional to 425,417.06 and 658,638.84 is: 1,019,717.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,417.06 : 658,638.84 = 658,638.84 : x
  2. Step 2: Convert to fraction form
    425,417.06/658,638.84 = 658,638.84/x
  3. Step 3: Cross multiply
    425,417.06x = 658,638.84 × 658,638.84
  4. Step 4: Simplify right side
    425,417.06x = 433,805,126,496.34
  5. Step 5: Solve for x
    x = 433,805,126,496.34/425,417.06
  6. Step 6: Final answer
    x = 1,019,717.27

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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.