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Finding the Third Proportional to 425,592 and 643,464

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Solution

The third proportional to 425,592 and 643,464 is: 972,870.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,592 : 643,464 = 643,464 : x
  2. Step 2: Convert to fraction form
    425,592/643,464 = 643,464/x
  3. Step 3: Cross multiply
    425,592x = 643,464 × 643,464
  4. Step 4: Simplify right side
    425,592x = 414,045,919,296
  5. Step 5: Solve for x
    x = 414,045,919,296/425,592
  6. Step 6: Final answer
    x = 972,870.54

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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.