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Finding the Third Proportional to 540,434 and 807,627

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Solution

The third proportional to 540,434 and 807,627 is: 1,206,921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,434 : 807,627 = 807,627 : x
  2. Step 2: Convert to fraction form
    540,434/807,627 = 807,627/x
  3. Step 3: Cross multiply
    540,434x = 807,627 × 807,627
  4. Step 4: Simplify right side
    540,434x = 652,261,371,129
  5. Step 5: Solve for x
    x = 652,261,371,129/540,434
  6. Step 6: Final answer
    x = 1,206,921.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.