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Finding the Third Proportional to 252,501 and 544,359

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Solution

The third proportional to 252,501 and 544,359 is: 1,173,566.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,501 : 544,359 = 544,359 : x
  2. Step 2: Convert to fraction form
    252,501/544,359 = 544,359/x
  3. Step 3: Cross multiply
    252,501x = 544,359 × 544,359
  4. Step 4: Simplify right side
    252,501x = 296,326,720,881
  5. Step 5: Solve for x
    x = 296,326,720,881/252,501
  6. Step 6: Final answer
    x = 1,173,566.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.