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Finding the Third Proportional to 333,169.50 and 487,258.50

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Solution

The third proportional to 333,169.50 and 487,258.50 is: 712,612.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,169.50 : 487,258.50 = 487,258.50 : x
  2. Step 2: Convert to fraction form
    333,169.50/487,258.50 = 487,258.50/x
  3. Step 3: Cross multiply
    333,169.50x = 487,258.50 × 487,258.50
  4. Step 4: Simplify right side
    333,169.50x = 237,420,845,822.25
  5. Step 5: Solve for x
    x = 237,420,845,822.25/333,169.50
  6. Step 6: Final answer
    x = 712,612.79

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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.