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Finding the Third Proportional to 364,657.50 and 552,024

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Solution

The third proportional to 364,657.50 and 552,024 is: 835,662.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,657.50 : 552,024 = 552,024 : x
  2. Step 2: Convert to fraction form
    364,657.50/552,024 = 552,024/x
  3. Step 3: Cross multiply
    364,657.50x = 552,024 × 552,024
  4. Step 4: Simplify right side
    364,657.50x = 304,730,496,576
  5. Step 5: Solve for x
    x = 304,730,496,576/364,657.50
  6. Step 6: Final answer
    x = 835,662.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.