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Finding the Third Proportional to 296,366 and 423,502

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Solution

The third proportional to 296,366 and 423,502 is: 605,177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,366 : 423,502 = 423,502 : x
  2. Step 2: Convert to fraction form
    296,366/423,502 = 423,502/x
  3. Step 3: Cross multiply
    296,366x = 423,502 × 423,502
  4. Step 4: Simplify right side
    296,366x = 179,353,944,004
  5. Step 5: Solve for x
    x = 179,353,944,004/296,366
  6. Step 6: Final answer
    x = 605,177.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.