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Finding the Third Proportional to 410,449.50 and 655,686

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Solution

The third proportional to 410,449.50 and 655,686 is: 1,047,447.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,449.50 : 655,686 = 655,686 : x
  2. Step 2: Convert to fraction form
    410,449.50/655,686 = 655,686/x
  3. Step 3: Cross multiply
    410,449.50x = 655,686 × 655,686
  4. Step 4: Simplify right side
    410,449.50x = 429,924,130,596
  5. Step 5: Solve for x
    x = 429,924,130,596/410,449.50
  6. Step 6: Final answer
    x = 1,047,447.08

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.