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Finding the Third Proportional to 316,165.50 and 676,597.50

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Solution

The third proportional to 316,165.50 and 676,597.50 is: 1,447,925.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,165.50 : 676,597.50 = 676,597.50 : x
  2. Step 2: Convert to fraction form
    316,165.50/676,597.50 = 676,597.50/x
  3. Step 3: Cross multiply
    316,165.50x = 676,597.50 × 676,597.50
  4. Step 4: Simplify right side
    316,165.50x = 457,784,177,006.25
  5. Step 5: Solve for x
    x = 457,784,177,006.25/316,165.50
  6. Step 6: Final answer
    x = 1,447,925.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.