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Finding the Third Proportional to 367,778 and 562,363

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Solution

The third proportional to 367,778 and 562,363 is: 859,899.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,778 : 562,363 = 562,363 : x
  2. Step 2: Convert to fraction form
    367,778/562,363 = 562,363/x
  3. Step 3: Cross multiply
    367,778x = 562,363 × 562,363
  4. Step 4: Simplify right side
    367,778x = 316,252,143,769
  5. Step 5: Solve for x
    x = 316,252,143,769/367,778
  6. Step 6: Final answer
    x = 859,899.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.