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Finding the Third Proportional to 420,002.72 and 645,939.56

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Solution

The third proportional to 420,002.72 and 645,939.56 is: 993,417.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,002.72 : 645,939.56 = 645,939.56 : x
  2. Step 2: Convert to fraction form
    420,002.72/645,939.56 = 645,939.56/x
  3. Step 3: Cross multiply
    420,002.72x = 645,939.56 × 645,939.56
  4. Step 4: Simplify right side
    420,002.72x = 417,237,918,402.69
  5. Step 5: Solve for x
    x = 417,237,918,402.69/420,002.72
  6. Step 6: Final answer
    x = 993,417.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.