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Finding the Third Proportional to 349,677 and 528,687

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Solution

The third proportional to 349,677 and 528,687 is: 799,337.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,677 : 528,687 = 528,687 : x
  2. Step 2: Convert to fraction form
    349,677/528,687 = 528,687/x
  3. Step 3: Cross multiply
    349,677x = 528,687 × 528,687
  4. Step 4: Simplify right side
    349,677x = 279,509,943,969
  5. Step 5: Solve for x
    x = 279,509,943,969/349,677
  6. Step 6: Final answer
    x = 799,337.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.