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Finding the Third Proportional to 282,746 and 598,216

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Solution

The third proportional to 282,746 and 598,216 is: 1,265,667.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,746 : 598,216 = 598,216 : x
  2. Step 2: Convert to fraction form
    282,746/598,216 = 598,216/x
  3. Step 3: Cross multiply
    282,746x = 598,216 × 598,216
  4. Step 4: Simplify right side
    282,746x = 357,862,382,656
  5. Step 5: Solve for x
    x = 357,862,382,656/282,746
  6. Step 6: Final answer
    x = 1,265,667.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.