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Finding the Third Proportional to 296,433 and 649,080

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Solution

The third proportional to 296,433 and 649,080 is: 1,421,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,433 : 649,080 = 649,080 : x
  2. Step 2: Convert to fraction form
    296,433/649,080 = 649,080/x
  3. Step 3: Cross multiply
    296,433x = 649,080 × 649,080
  4. Step 4: Simplify right side
    296,433x = 421,304,846,400
  5. Step 5: Solve for x
    x = 421,304,846,400/296,433
  6. Step 6: Final answer
    x = 1,421,248.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.