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Finding the Third Proportional to 282,321 and 602,919

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Solution

The third proportional to 282,321 and 602,919 is: 1,287,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,321 : 602,919 = 602,919 : x
  2. Step 2: Convert to fraction form
    282,321/602,919 = 602,919/x
  3. Step 3: Cross multiply
    282,321x = 602,919 × 602,919
  4. Step 4: Simplify right side
    282,321x = 363,511,320,561
  5. Step 5: Solve for x
    x = 363,511,320,561/282,321
  6. Step 6: Final answer
    x = 1,287,581.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.