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Finding the Third Proportional to 320,468 and 502,701

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Solution

The third proportional to 320,468 and 502,701 is: 788,560.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,468 : 502,701 = 502,701 : x
  2. Step 2: Convert to fraction form
    320,468/502,701 = 502,701/x
  3. Step 3: Cross multiply
    320,468x = 502,701 × 502,701
  4. Step 4: Simplify right side
    320,468x = 252,708,295,401
  5. Step 5: Solve for x
    x = 252,708,295,401/320,468
  6. Step 6: Final answer
    x = 788,560.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.