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Finding the Third Proportional to 243,877 and 375,326

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Solution

The third proportional to 243,877 and 375,326 is: 577,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,877 : 375,326 = 375,326 : x
  2. Step 2: Convert to fraction form
    243,877/375,326 = 375,326/x
  3. Step 3: Cross multiply
    243,877x = 375,326 × 375,326
  4. Step 4: Simplify right side
    243,877x = 140,869,606,276
  5. Step 5: Solve for x
    x = 140,869,606,276/243,877
  6. Step 6: Final answer
    x = 577,625.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.