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Finding the Third Proportional to 478,422 and 750,597.75

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Solution

The third proportional to 478,422 and 750,597.75 is: 1,177,615.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,422 : 750,597.75 = 750,597.75 : x
  2. Step 2: Convert to fraction form
    478,422/750,597.75 = 750,597.75/x
  3. Step 3: Cross multiply
    478,422x = 750,597.75 × 750,597.75
  4. Step 4: Simplify right side
    478,422x = 563,396,982,305.06
  5. Step 5: Solve for x
    x = 563,396,982,305.06/478,422
  6. Step 6: Final answer
    x = 1,177,615.12

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.