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Finding the Third Proportional to 282,026 and 436,902

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Solution

The third proportional to 282,026 and 436,902 is: 676,828.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,026 : 436,902 = 436,902 : x
  2. Step 2: Convert to fraction form
    282,026/436,902 = 436,902/x
  3. Step 3: Cross multiply
    282,026x = 436,902 × 436,902
  4. Step 4: Simplify right side
    282,026x = 190,883,357,604
  5. Step 5: Solve for x
    x = 190,883,357,604/282,026
  6. Step 6: Final answer
    x = 676,828.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.