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Finding the Third Proportional to 345,211.50 and 714,387

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Solution

The third proportional to 345,211.50 and 714,387 is: 1,478,365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,211.50 : 714,387 = 714,387 : x
  2. Step 2: Convert to fraction form
    345,211.50/714,387 = 714,387/x
  3. Step 3: Cross multiply
    345,211.50x = 714,387 × 714,387
  4. Step 4: Simplify right side
    345,211.50x = 510,348,785,769
  5. Step 5: Solve for x
    x = 510,348,785,769/345,211.50
  6. Step 6: Final answer
    x = 1,478,365.54

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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.