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Finding the Third Proportional to 272,669 and 583,246

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Solution

The third proportional to 272,669 and 583,246 is: 1,247,578.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,669 : 583,246 = 583,246 : x
  2. Step 2: Convert to fraction form
    272,669/583,246 = 583,246/x
  3. Step 3: Cross multiply
    272,669x = 583,246 × 583,246
  4. Step 4: Simplify right side
    272,669x = 340,175,896,516
  5. Step 5: Solve for x
    x = 340,175,896,516/272,669
  6. Step 6: Final answer
    x = 1,247,578.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.