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Finding the Third Proportional to 265,981.50 and 577,176.75

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Solution

The third proportional to 265,981.50 and 577,176.75 is: 1,252,466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,981.50 : 577,176.75 = 577,176.75 : x
  2. Step 2: Convert to fraction form
    265,981.50/577,176.75 = 577,176.75/x
  3. Step 3: Cross multiply
    265,981.50x = 577,176.75 × 577,176.75
  4. Step 4: Simplify right side
    265,981.50x = 333,133,000,740.56
  5. Step 5: Solve for x
    x = 333,133,000,740.56/265,981.50
  6. Step 6: Final answer
    x = 1,252,466.81

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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.