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Finding the Third Proportional to 427,398.50 and 676,775.25

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Solution

The third proportional to 427,398.50 and 676,775.25 is: 1,071,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,398.50 : 676,775.25 = 676,775.25 : x
  2. Step 2: Convert to fraction form
    427,398.50/676,775.25 = 676,775.25/x
  3. Step 3: Cross multiply
    427,398.50x = 676,775.25 × 676,775.25
  4. Step 4: Simplify right side
    427,398.50x = 458,024,739,012.56
  5. Step 5: Solve for x
    x = 458,024,739,012.56/427,398.50
  6. Step 6: Final answer
    x = 1,071,657.34

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.