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Finding the Third Proportional to 319,924 and 700,112

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Solution

The third proportional to 319,924 and 700,112 is: 1,532,103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,924 : 700,112 = 700,112 : x
  2. Step 2: Convert to fraction form
    319,924/700,112 = 700,112/x
  3. Step 3: Cross multiply
    319,924x = 700,112 × 700,112
  4. Step 4: Simplify right side
    319,924x = 490,156,812,544
  5. Step 5: Solve for x
    x = 490,156,812,544/319,924
  6. Step 6: Final answer
    x = 1,532,103.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.