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Finding the Third Proportional to 270,253 and 592,394

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Solution

The third proportional to 270,253 and 592,394 is: 1,298,526.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,253 : 592,394 = 592,394 : x
  2. Step 2: Convert to fraction form
    270,253/592,394 = 592,394/x
  3. Step 3: Cross multiply
    270,253x = 592,394 × 592,394
  4. Step 4: Simplify right side
    270,253x = 350,930,651,236
  5. Step 5: Solve for x
    x = 350,930,651,236/270,253
  6. Step 6: Final answer
    x = 1,298,526.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.