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Finding the Third Proportional to 368,501 and 552,643.50

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Solution

The third proportional to 368,501 and 552,643.50 is: 828,803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,501 : 552,643.50 = 552,643.50 : x
  2. Step 2: Convert to fraction form
    368,501/552,643.50 = 552,643.50/x
  3. Step 3: Cross multiply
    368,501x = 552,643.50 × 552,643.50
  4. Step 4: Simplify right side
    368,501x = 305,414,838,092.25
  5. Step 5: Solve for x
    x = 305,414,838,092.25/368,501
  6. Step 6: Final answer
    x = 828,803.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.