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Finding the Third Proportional to 235,264.50 and 555,293.25

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Solution

The third proportional to 235,264.50 and 555,293.25 is: 1,310,655.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,264.50 : 555,293.25 = 555,293.25 : x
  2. Step 2: Convert to fraction form
    235,264.50/555,293.25 = 555,293.25/x
  3. Step 3: Cross multiply
    235,264.50x = 555,293.25 × 555,293.25
  4. Step 4: Simplify right side
    235,264.50x = 308,350,593,495.56
  5. Step 5: Solve for x
    x = 308,350,593,495.56/235,264.50
  6. Step 6: Final answer
    x = 1,310,655.00

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.