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Finding the Third Proportional to 349,656 and 750,282

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Solution

The third proportional to 349,656 and 750,282 is: 1,609,933.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,656 : 750,282 = 750,282 : x
  2. Step 2: Convert to fraction form
    349,656/750,282 = 750,282/x
  3. Step 3: Cross multiply
    349,656x = 750,282 × 750,282
  4. Step 4: Simplify right side
    349,656x = 562,923,079,524
  5. Step 5: Solve for x
    x = 562,923,079,524/349,656
  6. Step 6: Final answer
    x = 1,609,933.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.