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Finding the Third Proportional to 329,331 and 473,260.50

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Solution

The third proportional to 329,331 and 473,260.50 is: 680,092.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,331 : 473,260.50 = 473,260.50 : x
  2. Step 2: Convert to fraction form
    329,331/473,260.50 = 473,260.50/x
  3. Step 3: Cross multiply
    329,331x = 473,260.50 × 473,260.50
  4. Step 4: Simplify right side
    329,331x = 223,975,500,860.25
  5. Step 5: Solve for x
    x = 223,975,500,860.25/329,331
  6. Step 6: Final answer
    x = 680,092.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.