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Finding the Third Proportional to 360,310 and 834,031

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Solution

The third proportional to 360,310 and 834,031 is: 1,930,581.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,310 : 834,031 = 834,031 : x
  2. Step 2: Convert to fraction form
    360,310/834,031 = 834,031/x
  3. Step 3: Cross multiply
    360,310x = 834,031 × 834,031
  4. Step 4: Simplify right side
    360,310x = 695,607,708,961
  5. Step 5: Solve for x
    x = 695,607,708,961/360,310
  6. Step 6: Final answer
    x = 1,930,581.19

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.