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Finding the Third Proportional to 297,847.13 and 473,326.88

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Solution

The third proportional to 297,847.13 and 473,326.88 is: 752,192.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,847.13 : 473,326.88 = 473,326.88 : x
  2. Step 2: Convert to fraction form
    297,847.13/473,326.88 = 473,326.88/x
  3. Step 3: Cross multiply
    297,847.13x = 473,326.88 × 473,326.88
  4. Step 4: Simplify right side
    297,847.13x = 224,038,330,597.27
  5. Step 5: Solve for x
    x = 224,038,330,597.27/297,847.13
  6. Step 6: Final answer
    x = 752,192.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.