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Finding the Third Proportional to 272,806 and 592,834

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Solution

The third proportional to 272,806 and 592,834 is: 1,288,286.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,806 : 592,834 = 592,834 : x
  2. Step 2: Convert to fraction form
    272,806/592,834 = 592,834/x
  3. Step 3: Cross multiply
    272,806x = 592,834 × 592,834
  4. Step 4: Simplify right side
    272,806x = 351,452,151,556
  5. Step 5: Solve for x
    x = 351,452,151,556/272,806
  6. Step 6: Final answer
    x = 1,288,286.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.