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Finding the Third Proportional to 345,247 and 714,452

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Solution

The third proportional to 345,247 and 714,452 is: 1,478,482.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,247 : 714,452 = 714,452 : x
  2. Step 2: Convert to fraction form
    345,247/714,452 = 714,452/x
  3. Step 3: Cross multiply
    345,247x = 714,452 × 714,452
  4. Step 4: Simplify right side
    345,247x = 510,441,660,304
  5. Step 5: Solve for x
    x = 510,441,660,304/345,247
  6. Step 6: Final answer
    x = 1,478,482.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.