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Finding the Third Proportional to 319,262 and 500,924

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Solution

The third proportional to 319,262 and 500,924 is: 785,952.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,262 : 500,924 = 500,924 : x
  2. Step 2: Convert to fraction form
    319,262/500,924 = 500,924/x
  3. Step 3: Cross multiply
    319,262x = 500,924 × 500,924
  4. Step 4: Simplify right side
    319,262x = 250,924,853,776
  5. Step 5: Solve for x
    x = 250,924,853,776/319,262
  6. Step 6: Final answer
    x = 785,952.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.