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Finding the Third Proportional to 233,401.50 and 519,655.50

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Solution

The third proportional to 233,401.50 and 519,655.50 is: 1,156,984.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,401.50 : 519,655.50 = 519,655.50 : x
  2. Step 2: Convert to fraction form
    233,401.50/519,655.50 = 519,655.50/x
  3. Step 3: Cross multiply
    233,401.50x = 519,655.50 × 519,655.50
  4. Step 4: Simplify right side
    233,401.50x = 270,041,838,680.25
  5. Step 5: Solve for x
    x = 270,041,838,680.25/233,401.50
  6. Step 6: Final answer
    x = 1,156,984.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.