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Finding the Third Proportional to 316,269 and 502,557.75

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Solution

The third proportional to 316,269 and 502,557.75 is: 798,574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,269 : 502,557.75 = 502,557.75 : x
  2. Step 2: Convert to fraction form
    316,269/502,557.75 = 502,557.75/x
  3. Step 3: Cross multiply
    316,269x = 502,557.75 × 502,557.75
  4. Step 4: Simplify right side
    316,269x = 252,564,292,085.06
  5. Step 5: Solve for x
    x = 252,564,292,085.06/316,269
  6. Step 6: Final answer
    x = 798,574.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.