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Finding the Third Proportional to 410,061.50 and 552,024

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Solution

The third proportional to 410,061.50 and 552,024 is: 743,133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,061.50 : 552,024 = 552,024 : x
  2. Step 2: Convert to fraction form
    410,061.50/552,024 = 552,024/x
  3. Step 3: Cross multiply
    410,061.50x = 552,024 × 552,024
  4. Step 4: Simplify right side
    410,061.50x = 304,730,496,576
  5. Step 5: Solve for x
    x = 304,730,496,576/410,061.50
  6. Step 6: Final answer
    x = 743,133.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.