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Finding the Third Proportional to 296,364 and 423,499

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Solution

The third proportional to 296,364 and 423,499 is: 605,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,364 : 423,499 = 423,499 : x
  2. Step 2: Convert to fraction form
    296,364/423,499 = 423,499/x
  3. Step 3: Cross multiply
    296,364x = 423,499 × 423,499
  4. Step 4: Simplify right side
    296,364x = 179,351,403,001
  5. Step 5: Solve for x
    x = 179,351,403,001/296,364
  6. Step 6: Final answer
    x = 605,172.70

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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.