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Finding the Third Proportional to 349,767 and 750,614

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Solution

The third proportional to 349,767 and 750,614 is: 1,610,847.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,767 : 750,614 = 750,614 : x
  2. Step 2: Convert to fraction form
    349,767/750,614 = 750,614/x
  3. Step 3: Cross multiply
    349,767x = 750,614 × 750,614
  4. Step 4: Simplify right side
    349,767x = 563,421,376,996
  5. Step 5: Solve for x
    x = 563,421,376,996/349,767
  6. Step 6: Final answer
    x = 1,610,847.73

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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.