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Finding the Third Proportional to 473,588 and 724,479

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Solution

The third proportional to 473,588 and 724,479 is: 1,108,283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,588 : 724,479 = 724,479 : x
  2. Step 2: Convert to fraction form
    473,588/724,479 = 724,479/x
  3. Step 3: Cross multiply
    473,588x = 724,479 × 724,479
  4. Step 4: Simplify right side
    473,588x = 524,869,821,441
  5. Step 5: Solve for x
    x = 524,869,821,441/473,588
  6. Step 6: Final answer
    x = 1,108,283.62

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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.