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Finding the Third Proportional to 282,948.19 and 608,031.56

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Solution

The third proportional to 282,948.19 and 608,031.56 is: 1,306,608.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,948.19 : 608,031.56 = 608,031.56 : x
  2. Step 2: Convert to fraction form
    282,948.19/608,031.56 = 608,031.56/x
  3. Step 3: Cross multiply
    282,948.19x = 608,031.56 × 608,031.56
  4. Step 4: Simplify right side
    282,948.19x = 369,702,380,996.19
  5. Step 5: Solve for x
    x = 369,702,380,996.19/282,948.19
  6. Step 6: Final answer
    x = 1,306,608.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.