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Finding the Third Proportional to 265,369.50 and 560,691

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Solution

The third proportional to 265,369.50 and 560,691 is: 1,184,666.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,369.50 : 560,691 = 560,691 : x
  2. Step 2: Convert to fraction form
    265,369.50/560,691 = 560,691/x
  3. Step 3: Cross multiply
    265,369.50x = 560,691 × 560,691
  4. Step 4: Simplify right side
    265,369.50x = 314,374,397,481
  5. Step 5: Solve for x
    x = 314,374,397,481/265,369.50
  6. Step 6: Final answer
    x = 1,184,666.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.