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Finding the Third Proportional to 288,289.13 and 450,937.13

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Solution

The third proportional to 288,289.13 and 450,937.13 is: 705,348.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,289.13 : 450,937.13 = 450,937.13 : x
  2. Step 2: Convert to fraction form
    288,289.13/450,937.13 = 450,937.13/x
  3. Step 3: Cross multiply
    288,289.13x = 450,937.13 × 450,937.13
  4. Step 4: Simplify right side
    288,289.13x = 203,344,290,703.27
  5. Step 5: Solve for x
    x = 203,344,290,703.27/288,289.13
  6. Step 6: Final answer
    x = 705,348.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.