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Finding the Third Proportional to 326,743.88 and 711,622.13

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Solution

The third proportional to 326,743.88 and 711,622.13 is: 1,549,856.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,743.88 : 711,622.13 = 711,622.13 : x
  2. Step 2: Convert to fraction form
    326,743.88/711,622.13 = 711,622.13/x
  3. Step 3: Cross multiply
    326,743.88x = 711,622.13 × 711,622.13
  4. Step 4: Simplify right side
    326,743.88x = 506,406,048,789.52
  5. Step 5: Solve for x
    x = 506,406,048,789.52/326,743.88
  6. Step 6: Final answer
    x = 1,549,856.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.