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Finding the Third Proportional to 283,246 and 612,959

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Solution

The third proportional to 283,246 and 612,959 is: 1,326,474.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,246 : 612,959 = 612,959 : x
  2. Step 2: Convert to fraction form
    283,246/612,959 = 612,959/x
  3. Step 3: Cross multiply
    283,246x = 612,959 × 612,959
  4. Step 4: Simplify right side
    283,246x = 375,718,735,681
  5. Step 5: Solve for x
    x = 375,718,735,681/283,246
  6. Step 6: Final answer
    x = 1,326,474.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.