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Finding the Third Proportional to 320,628 and 500,352

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Solution

The third proportional to 320,628 and 500,352 is: 780,818.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,628 : 500,352 = 500,352 : x
  2. Step 2: Convert to fraction form
    320,628/500,352 = 500,352/x
  3. Step 3: Cross multiply
    320,628x = 500,352 × 500,352
  4. Step 4: Simplify right side
    320,628x = 250,352,123,904
  5. Step 5: Solve for x
    x = 250,352,123,904/320,628
  6. Step 6: Final answer
    x = 780,818.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.