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Finding the Third Proportional to 338,788.50 and 736,623.75

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Solution

The third proportional to 338,788.50 and 736,623.75 is: 1,601,632.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,788.50 : 736,623.75 = 736,623.75 : x
  2. Step 2: Convert to fraction form
    338,788.50/736,623.75 = 736,623.75/x
  3. Step 3: Cross multiply
    338,788.50x = 736,623.75 × 736,623.75
  4. Step 4: Simplify right side
    338,788.50x = 542,614,549,064.06
  5. Step 5: Solve for x
    x = 542,614,549,064.06/338,788.50
  6. Step 6: Final answer
    x = 1,601,632.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.