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Finding the Third Proportional to 438,312.75 and 655,716.88

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Solution

The third proportional to 438,312.75 and 655,716.88 is: 980,953.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,312.75 : 655,716.88 = 655,716.88 : x
  2. Step 2: Convert to fraction form
    438,312.75/655,716.88 = 655,716.88/x
  3. Step 3: Cross multiply
    438,312.75x = 655,716.88 × 655,716.88
  4. Step 4: Simplify right side
    438,312.75x = 429,964,620,159.77
  5. Step 5: Solve for x
    x = 429,964,620,159.77/438,312.75
  6. Step 6: Final answer
    x = 980,953.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.