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Finding the Third Proportional to 282,541 and 619,952

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Solution

The third proportional to 282,541 and 619,952 is: 1,360,299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,541 : 619,952 = 619,952 : x
  2. Step 2: Convert to fraction form
    282,541/619,952 = 619,952/x
  3. Step 3: Cross multiply
    282,541x = 619,952 × 619,952
  4. Step 4: Simplify right side
    282,541x = 384,340,482,304
  5. Step 5: Solve for x
    x = 384,340,482,304/282,541
  6. Step 6: Final answer
    x = 1,360,299.86

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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.