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Finding the Third Proportional to 290,778 and 592,248

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Solution

The third proportional to 290,778 and 592,248 is: 1,206,273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,778 : 592,248 = 592,248 : x
  2. Step 2: Convert to fraction form
    290,778/592,248 = 592,248/x
  3. Step 3: Cross multiply
    290,778x = 592,248 × 592,248
  4. Step 4: Simplify right side
    290,778x = 350,757,693,504
  5. Step 5: Solve for x
    x = 350,757,693,504/290,778
  6. Step 6: Final answer
    x = 1,206,273.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.