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Finding the Third Proportional to 380,301.75 and 569,264.63

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Solution

The third proportional to 380,301.75 and 569,264.63 is: 852,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,301.75 : 569,264.63 = 569,264.63 : x
  2. Step 2: Convert to fraction form
    380,301.75/569,264.63 = 569,264.63/x
  3. Step 3: Cross multiply
    380,301.75x = 569,264.63 × 569,264.63
  4. Step 4: Simplify right side
    380,301.75x = 324,062,213,276.39
  5. Step 5: Solve for x
    x = 324,062,213,276.39/380,301.75
  6. Step 6: Final answer
    x = 852,118.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.