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Finding the Third Proportional to 282,348 and 607,950

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Solution

The third proportional to 282,348 and 607,950 is: 1,309,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,348 : 607,950 = 607,950 : x
  2. Step 2: Convert to fraction form
    282,348/607,950 = 607,950/x
  3. Step 3: Cross multiply
    282,348x = 607,950 × 607,950
  4. Step 4: Simplify right side
    282,348x = 369,603,202,500
  5. Step 5: Solve for x
    x = 369,603,202,500/282,348
  6. Step 6: Final answer
    x = 1,309,034.25

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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.