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Finding the Third Proportional to 376,780 and 569,010

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Solution

The third proportional to 376,780 and 569,010 is: 859,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,780 : 569,010 = 569,010 : x
  2. Step 2: Convert to fraction form
    376,780/569,010 = 569,010/x
  3. Step 3: Cross multiply
    376,780x = 569,010 × 569,010
  4. Step 4: Simplify right side
    376,780x = 323,772,380,100
  5. Step 5: Solve for x
    x = 323,772,380,100/376,780
  6. Step 6: Final answer
    x = 859,314.14

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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.