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Finding the Third Proportional to 265,153.50 and 576,412.50

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Solution

The third proportional to 265,153.50 and 576,412.50 is: 1,253,052.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,153.50 : 576,412.50 = 576,412.50 : x
  2. Step 2: Convert to fraction form
    265,153.50/576,412.50 = 576,412.50/x
  3. Step 3: Cross multiply
    265,153.50x = 576,412.50 × 576,412.50
  4. Step 4: Simplify right side
    265,153.50x = 332,251,370,156.25
  5. Step 5: Solve for x
    x = 332,251,370,156.25/265,153.50
  6. Step 6: Final answer
    x = 1,253,052.93

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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.