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Finding the Third Proportional to 296,362 and 423,492

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Solution

The third proportional to 296,362 and 423,492 is: 605,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,362 : 423,492 = 423,492 : x
  2. Step 2: Convert to fraction form
    296,362/423,492 = 423,492/x
  3. Step 3: Cross multiply
    296,362x = 423,492 × 423,492
  4. Step 4: Simplify right side
    296,362x = 179,345,474,064
  5. Step 5: Solve for x
    x = 179,345,474,064/296,362
  6. Step 6: Final answer
    x = 605,156.78

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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.