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Finding the Third Proportional to 282,050 and 615,548

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Solution

The third proportional to 282,050 and 615,548 is: 1,343,376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,050 : 615,548 = 615,548 : x
  2. Step 2: Convert to fraction form
    282,050/615,548 = 615,548/x
  3. Step 3: Cross multiply
    282,050x = 615,548 × 615,548
  4. Step 4: Simplify right side
    282,050x = 378,899,340,304
  5. Step 5: Solve for x
    x = 378,899,340,304/282,050
  6. Step 6: Final answer
    x = 1,343,376.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.