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Finding the Third Proportional to 368,503 and 552,646

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Solution

The third proportional to 368,503 and 552,646 is: 828,806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,503 : 552,646 = 552,646 : x
  2. Step 2: Convert to fraction form
    368,503/552,646 = 552,646/x
  3. Step 3: Cross multiply
    368,503x = 552,646 × 552,646
  4. Step 4: Simplify right side
    368,503x = 305,417,601,316
  5. Step 5: Solve for x
    x = 305,417,601,316/368,503
  6. Step 6: Final answer
    x = 828,806.28

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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.