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Finding the Third Proportional to 265,995 and 577,204.50

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Solution

The third proportional to 265,995 and 577,204.50 is: 1,252,523.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,995 : 577,204.50 = 577,204.50 : x
  2. Step 2: Convert to fraction form
    265,995/577,204.50 = 577,204.50/x
  3. Step 3: Cross multiply
    265,995x = 577,204.50 × 577,204.50
  4. Step 4: Simplify right side
    265,995x = 333,165,034,820.25
  5. Step 5: Solve for x
    x = 333,165,034,820.25/265,995
  6. Step 6: Final answer
    x = 1,252,523.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.