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Finding the Third Proportional to 349,764 and 513,046

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Solution

The third proportional to 349,764 and 513,046 is: 752,553.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,764 : 513,046 = 513,046 : x
  2. Step 2: Convert to fraction form
    349,764/513,046 = 513,046/x
  3. Step 3: Cross multiply
    349,764x = 513,046 × 513,046
  4. Step 4: Simplify right side
    349,764x = 263,216,198,116
  5. Step 5: Solve for x
    x = 263,216,198,116/349,764
  6. Step 6: Final answer
    x = 752,553.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.