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Finding the Third Proportional to 452,133.56 and 614,055.09

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Solution

The third proportional to 452,133.56 and 614,055.09 is: 833,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,133.56 : 614,055.09 = 614,055.09 : x
  2. Step 2: Convert to fraction form
    452,133.56/614,055.09 = 614,055.09/x
  3. Step 3: Cross multiply
    452,133.56x = 614,055.09 × 614,055.09
  4. Step 4: Simplify right side
    452,133.56x = 377,063,658,160.32
  5. Step 5: Solve for x
    x = 377,063,658,160.32/452,133.56
  6. Step 6: Final answer
    x = 833,965.20

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Why These Related Problems?

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