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Finding the Third Proportional to 320,470 and 502,704

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Solution

The third proportional to 320,470 and 502,704 is: 788,564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,470 : 502,704 = 502,704 : x
  2. Step 2: Convert to fraction form
    320,470/502,704 = 502,704/x
  3. Step 3: Cross multiply
    320,470x = 502,704 × 502,704
  4. Step 4: Simplify right side
    320,470x = 252,711,311,616
  5. Step 5: Solve for x
    x = 252,711,311,616/320,470
  6. Step 6: Final answer
    x = 788,564.64

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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.