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Finding the Third Proportional to 473,530 and 724,389

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Solution

The third proportional to 473,530 and 724,389 is: 1,108,143.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,530 : 724,389 = 724,389 : x
  2. Step 2: Convert to fraction form
    473,530/724,389 = 724,389/x
  3. Step 3: Cross multiply
    473,530x = 724,389 × 724,389
  4. Step 4: Simplify right side
    473,530x = 524,739,423,321
  5. Step 5: Solve for x
    x = 524,739,423,321/473,530
  6. Step 6: Final answer
    x = 1,108,143.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.