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Finding the Third Proportional to 272,153 and 577,246

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Solution

The third proportional to 272,153 and 577,246 is: 1,224,358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,153 : 577,246 = 577,246 : x
  2. Step 2: Convert to fraction form
    272,153/577,246 = 577,246/x
  3. Step 3: Cross multiply
    272,153x = 577,246 × 577,246
  4. Step 4: Simplify right side
    272,153x = 333,212,944,516
  5. Step 5: Solve for x
    x = 333,212,944,516/272,153
  6. Step 6: Final answer
    x = 1,224,358.89

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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.