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Finding the Third Proportional to 296,182 and 423,246

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Solution

The third proportional to 296,182 and 423,246 is: 604,821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,182 : 423,246 = 423,246 : x
  2. Step 2: Convert to fraction form
    296,182/423,246 = 423,246/x
  3. Step 3: Cross multiply
    296,182x = 423,246 × 423,246
  4. Step 4: Simplify right side
    296,182x = 179,137,176,516
  5. Step 5: Solve for x
    x = 179,137,176,516/296,182
  6. Step 6: Final answer
    x = 604,821.28

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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.