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Finding the Third Proportional to 330,819.19 and 724,681.69

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Solution

The third proportional to 330,819.19 and 724,681.69 is: 1,587,463.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,819.19 : 724,681.69 = 724,681.69 : x
  2. Step 2: Convert to fraction form
    330,819.19/724,681.69 = 724,681.69/x
  3. Step 3: Cross multiply
    330,819.19x = 724,681.69 × 724,681.69
  4. Step 4: Simplify right side
    330,819.19x = 525,163,548,197.85
  5. Step 5: Solve for x
    x = 525,163,548,197.85/330,819.19
  6. Step 6: Final answer
    x = 1,587,463.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.