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Finding the Third Proportional to 467,724 and 753,270

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Solution

The third proportional to 467,724 and 753,270 is: 1,213,142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,724 : 753,270 = 753,270 : x
  2. Step 2: Convert to fraction form
    467,724/753,270 = 753,270/x
  3. Step 3: Cross multiply
    467,724x = 753,270 × 753,270
  4. Step 4: Simplify right side
    467,724x = 567,415,692,900
  5. Step 5: Solve for x
    x = 567,415,692,900/467,724
  6. Step 6: Final answer
    x = 1,213,142.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.