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Finding the Third Proportional to 502,322 and 753,484

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Solution

The third proportional to 502,322 and 753,484 is: 1,130,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,322 : 753,484 = 753,484 : x
  2. Step 2: Convert to fraction form
    502,322/753,484 = 753,484/x
  3. Step 3: Cross multiply
    502,322x = 753,484 × 753,484
  4. Step 4: Simplify right side
    502,322x = 567,738,138,256
  5. Step 5: Solve for x
    x = 567,738,138,256/502,322
  6. Step 6: Final answer
    x = 1,130,227.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.