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Finding the Third Proportional to 398,024 and 602,796

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Solution

The third proportional to 398,024 and 602,796 is: 912,917.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,024 : 602,796 = 602,796 : x
  2. Step 2: Convert to fraction form
    398,024/602,796 = 602,796/x
  3. Step 3: Cross multiply
    398,024x = 602,796 × 602,796
  4. Step 4: Simplify right side
    398,024x = 363,363,017,616
  5. Step 5: Solve for x
    x = 363,363,017,616/398,024
  6. Step 6: Final answer
    x = 912,917.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.