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Finding the Third Proportional to 368,034 and 553,896

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Solution

The third proportional to 368,034 and 553,896 is: 833,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,034 : 553,896 = 553,896 : x
  2. Step 2: Convert to fraction form
    368,034/553,896 = 553,896/x
  3. Step 3: Cross multiply
    368,034x = 553,896 × 553,896
  4. Step 4: Simplify right side
    368,034x = 306,800,778,816
  5. Step 5: Solve for x
    x = 306,800,778,816/368,034
  6. Step 6: Final answer
    x = 833,620.75

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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.