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Finding the Third Proportional to 478,845 and 741,427.50

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Solution

The third proportional to 478,845 and 741,427.50 is: 1,148,001.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,845 : 741,427.50 = 741,427.50 : x
  2. Step 2: Convert to fraction form
    478,845/741,427.50 = 741,427.50/x
  3. Step 3: Cross multiply
    478,845x = 741,427.50 × 741,427.50
  4. Step 4: Simplify right side
    478,845x = 549,714,737,756.25
  5. Step 5: Solve for x
    x = 549,714,737,756.25/478,845
  6. Step 6: Final answer
    x = 1,148,001.42

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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.