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Finding the Third Proportional to 243,959 and 380,693

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Solution

The third proportional to 243,959 and 380,693 is: 594,063.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,959 : 380,693 = 380,693 : x
  2. Step 2: Convert to fraction form
    243,959/380,693 = 380,693/x
  3. Step 3: Cross multiply
    243,959x = 380,693 × 380,693
  4. Step 4: Simplify right side
    243,959x = 144,927,160,249
  5. Step 5: Solve for x
    x = 144,927,160,249/243,959
  6. Step 6: Final answer
    x = 594,063.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.