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Finding the Third Proportional to 333,165.48 and 487,253.18

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Solution

The third proportional to 333,165.48 and 487,253.18 is: 712,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,165.48 : 487,253.18 = 487,253.18 : x
  2. Step 2: Convert to fraction form
    333,165.48/487,253.18 = 487,253.18/x
  3. Step 3: Cross multiply
    333,165.48x = 487,253.18 × 487,253.18
  4. Step 4: Simplify right side
    333,165.48x = 237,415,661,115.58
  5. Step 5: Solve for x
    x = 237,415,661,115.58/333,165.48
  6. Step 6: Final answer
    x = 712,605.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.