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Finding the Third Proportional to 349,677 and 531,349.88

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Solution

The third proportional to 349,677 and 531,349.88 is: 807,409.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,677 : 531,349.88 = 531,349.88 : x
  2. Step 2: Convert to fraction form
    349,677/531,349.88 = 531,349.88/x
  3. Step 3: Cross multiply
    349,677x = 531,349.88 × 531,349.88
  4. Step 4: Simplify right side
    349,677x = 282,332,689,662.52
  5. Step 5: Solve for x
    x = 282,332,689,662.52/349,677
  6. Step 6: Final answer
    x = 807,409.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.