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Finding the Third Proportional to 349,517 and 756,159

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Solution

The third proportional to 349,517 and 756,159 is: 1,635,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,517 : 756,159 = 756,159 : x
  2. Step 2: Convert to fraction form
    349,517/756,159 = 756,159/x
  3. Step 3: Cross multiply
    349,517x = 756,159 × 756,159
  4. Step 4: Simplify right side
    349,517x = 571,776,433,281
  5. Step 5: Solve for x
    x = 571,776,433,281/349,517
  6. Step 6: Final answer
    x = 1,635,904.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.