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Finding the Third Proportional to 307,498 and 675,534

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Solution

The third proportional to 307,498 and 675,534 is: 1,484,062.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,498 : 675,534 = 675,534 : x
  2. Step 2: Convert to fraction form
    307,498/675,534 = 675,534/x
  3. Step 3: Cross multiply
    307,498x = 675,534 × 675,534
  4. Step 4: Simplify right side
    307,498x = 456,346,185,156
  5. Step 5: Solve for x
    x = 456,346,185,156/307,498
  6. Step 6: Final answer
    x = 1,484,062.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.