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Finding the Third Proportional to 360,260 and 834,010

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Solution

The third proportional to 360,260 and 834,010 is: 1,930,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,260 : 834,010 = 834,010 : x
  2. Step 2: Convert to fraction form
    360,260/834,010 = 834,010/x
  3. Step 3: Cross multiply
    360,260x = 834,010 × 834,010
  4. Step 4: Simplify right side
    360,260x = 695,572,680,100
  5. Step 5: Solve for x
    x = 695,572,680,100/360,260
  6. Step 6: Final answer
    x = 1,930,751.90

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.