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Finding the Third Proportional to 452,877.75 and 716,215.50

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Solution

The third proportional to 452,877.75 and 716,215.50 is: 1,132,677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,877.75 : 716,215.50 = 716,215.50 : x
  2. Step 2: Convert to fraction form
    452,877.75/716,215.50 = 716,215.50/x
  3. Step 3: Cross multiply
    452,877.75x = 716,215.50 × 716,215.50
  4. Step 4: Simplify right side
    452,877.75x = 512,964,642,440.25
  5. Step 5: Solve for x
    x = 512,964,642,440.25/452,877.75
  6. Step 6: Final answer
    x = 1,132,677.95

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.