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Finding the Third Proportional to 540,361 and 847,627

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Solution

The third proportional to 540,361 and 847,627 is: 1,329,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,361 : 847,627 = 847,627 : x
  2. Step 2: Convert to fraction form
    540,361/847,627 = 847,627/x
  3. Step 3: Cross multiply
    540,361x = 847,627 × 847,627
  4. Step 4: Simplify right side
    540,361x = 718,471,531,129
  5. Step 5: Solve for x
    x = 718,471,531,129/540,361
  6. Step 6: Final answer
    x = 1,329,613.96

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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.