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Finding the Third Proportional to 243,459 and 531,723

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Solution

The third proportional to 243,459 and 531,723 is: 1,161,301.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,459 : 531,723 = 531,723 : x
  2. Step 2: Convert to fraction form
    243,459/531,723 = 531,723/x
  3. Step 3: Cross multiply
    243,459x = 531,723 × 531,723
  4. Step 4: Simplify right side
    243,459x = 282,729,348,729
  5. Step 5: Solve for x
    x = 282,729,348,729/243,459
  6. Step 6: Final answer
    x = 1,161,301.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.