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Finding the Third Proportional to 478,341 and 740,618.25

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Solution

The third proportional to 478,341 and 740,618.25 is: 1,146,703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,341 : 740,618.25 = 740,618.25 : x
  2. Step 2: Convert to fraction form
    478,341/740,618.25 = 740,618.25/x
  3. Step 3: Cross multiply
    478,341x = 740,618.25 × 740,618.25
  4. Step 4: Simplify right side
    478,341x = 548,515,392,233.06
  5. Step 5: Solve for x
    x = 548,515,392,233.06/478,341
  6. Step 6: Final answer
    x = 1,146,703.70

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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.