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Finding the Third Proportional to 452,101.50 and 614,009.25

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Solution

The third proportional to 452,101.50 and 614,009.25 is: 833,899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,101.50 : 614,009.25 = 614,009.25 : x
  2. Step 2: Convert to fraction form
    452,101.50/614,009.25 = 614,009.25/x
  3. Step 3: Cross multiply
    452,101.50x = 614,009.25 × 614,009.25
  4. Step 4: Simplify right side
    452,101.50x = 377,007,359,085.56
  5. Step 5: Solve for x
    x = 377,007,359,085.56/452,101.50
  6. Step 6: Final answer
    x = 833,899.82

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.