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Finding the Third Proportional to 282,959 and 441,666

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Solution

The third proportional to 282,959 and 441,666 is: 689,389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,959 : 441,666 = 441,666 : x
  2. Step 2: Convert to fraction form
    282,959/441,666 = 441,666/x
  3. Step 3: Cross multiply
    282,959x = 441,666 × 441,666
  4. Step 4: Simplify right side
    282,959x = 195,068,855,556
  5. Step 5: Solve for x
    x = 195,068,855,556/282,959
  6. Step 6: Final answer
    x = 689,389.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.