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Finding the Third Proportional to 346,634 and 752,524

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Solution

The third proportional to 346,634 and 752,524 is: 1,633,689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,634 : 752,524 = 752,524 : x
  2. Step 2: Convert to fraction form
    346,634/752,524 = 752,524/x
  3. Step 3: Cross multiply
    346,634x = 752,524 × 752,524
  4. Step 4: Simplify right side
    346,634x = 566,292,370,576
  5. Step 5: Solve for x
    x = 566,292,370,576/346,634
  6. Step 6: Final answer
    x = 1,633,689.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.