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Finding the Third Proportional to 337,253 and 722,583

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Solution

The third proportional to 337,253 and 722,583 is: 1,548,173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,253 : 722,583 = 722,583 : x
  2. Step 2: Convert to fraction form
    337,253/722,583 = 722,583/x
  3. Step 3: Cross multiply
    337,253x = 722,583 × 722,583
  4. Step 4: Simplify right side
    337,253x = 522,126,191,889
  5. Step 5: Solve for x
    x = 522,126,191,889/337,253
  6. Step 6: Final answer
    x = 1,548,173.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.