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Finding the Third Proportional to 243,496 and 493,688

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Solution

The third proportional to 243,496 and 493,688 is: 1,000,952.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,496 : 493,688 = 493,688 : x
  2. Step 2: Convert to fraction form
    243,496/493,688 = 493,688/x
  3. Step 3: Cross multiply
    243,496x = 493,688 × 493,688
  4. Step 4: Simplify right side
    243,496x = 243,727,841,344
  5. Step 5: Solve for x
    x = 243,727,841,344/243,496
  6. Step 6: Final answer
    x = 1,000,952.14

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.