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Finding the Third Proportional to 330,534 and 724,332

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Solution

The third proportional to 330,534 and 724,332 is: 1,587,300.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,534 : 724,332 = 724,332 : x
  2. Step 2: Convert to fraction form
    330,534/724,332 = 724,332/x
  3. Step 3: Cross multiply
    330,534x = 724,332 × 724,332
  4. Step 4: Simplify right side
    330,534x = 524,656,846,224
  5. Step 5: Solve for x
    x = 524,656,846,224/330,534
  6. Step 6: Final answer
    x = 1,587,300.69

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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.