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Finding the Third Proportional to 349,932 and 714,624

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Solution

The third proportional to 349,932 and 714,624 is: 1,459,390.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,932 : 714,624 = 714,624 : x
  2. Step 2: Convert to fraction form
    349,932/714,624 = 714,624/x
  3. Step 3: Cross multiply
    349,932x = 714,624 × 714,624
  4. Step 4: Simplify right side
    349,932x = 510,687,461,376
  5. Step 5: Solve for x
    x = 510,687,461,376/349,932
  6. Step 6: Final answer
    x = 1,459,390.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.