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Finding the Third Proportional to 265,356.50 and 555,316.75

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Solution

The third proportional to 265,356.50 and 555,316.75 is: 1,162,122.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,356.50 : 555,316.75 = 555,316.75 : x
  2. Step 2: Convert to fraction form
    265,356.50/555,316.75 = 555,316.75/x
  3. Step 3: Cross multiply
    265,356.50x = 555,316.75 × 555,316.75
  4. Step 4: Simplify right side
    265,356.50x = 308,376,692,830.56
  5. Step 5: Solve for x
    x = 308,376,692,830.56/265,356.50
  6. Step 6: Final answer
    x = 1,162,122.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.