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Finding the Third Proportional to 280,210 and 608,048

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Solution

The third proportional to 280,210 and 608,048 is: 1,319,447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,210 : 608,048 = 608,048 : x
  2. Step 2: Convert to fraction form
    280,210/608,048 = 608,048/x
  3. Step 3: Cross multiply
    280,210x = 608,048 × 608,048
  4. Step 4: Simplify right side
    280,210x = 369,722,370,304
  5. Step 5: Solve for x
    x = 369,722,370,304/280,210
  6. Step 6: Final answer
    x = 1,319,447.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.