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Finding the Third Proportional to 265,162.50 and 572,679

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Solution

The third proportional to 265,162.50 and 572,679 is: 1,236,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,162.50 : 572,679 = 572,679 : x
  2. Step 2: Convert to fraction form
    265,162.50/572,679 = 572,679/x
  3. Step 3: Cross multiply
    265,162.50x = 572,679 × 572,679
  4. Step 4: Simplify right side
    265,162.50x = 327,961,237,041
  5. Step 5: Solve for x
    x = 327,961,237,041/265,162.50
  6. Step 6: Final answer
    x = 1,236,831.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.