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Finding the Third Proportional to 376,778 and 569,007

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Solution

The third proportional to 376,778 and 569,007 is: 859,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,778 : 569,007 = 569,007 : x
  2. Step 2: Convert to fraction form
    376,778/569,007 = 569,007/x
  3. Step 3: Cross multiply
    376,778x = 569,007 × 569,007
  4. Step 4: Simplify right side
    376,778x = 323,768,966,049
  5. Step 5: Solve for x
    x = 323,768,966,049/376,778
  6. Step 6: Final answer
    x = 859,309.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.