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Finding the Third Proportional to 272,324 and 414,246

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Solution

The third proportional to 272,324 and 414,246 is: 630,130.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,324 : 414,246 = 414,246 : x
  2. Step 2: Convert to fraction form
    272,324/414,246 = 414,246/x
  3. Step 3: Cross multiply
    272,324x = 414,246 × 414,246
  4. Step 4: Simplify right side
    272,324x = 171,599,748,516
  5. Step 5: Solve for x
    x = 171,599,748,516/272,324
  6. Step 6: Final answer
    x = 630,130.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.