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Finding the Third Proportional to 265,537 and 398,593.50

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Solution

The third proportional to 265,537 and 398,593.50 is: 598,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,537 : 398,593.50 = 398,593.50 : x
  2. Step 2: Convert to fraction form
    265,537/398,593.50 = 398,593.50/x
  3. Step 3: Cross multiply
    265,537x = 398,593.50 × 398,593.50
  4. Step 4: Simplify right side
    265,537x = 158,876,778,242.25
  5. Step 5: Solve for x
    x = 158,876,778,242.25/265,537
  6. Step 6: Final answer
    x = 598,322.56

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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.