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Finding the Third Proportional to 278,163 and 600,673.50

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Solution

The third proportional to 278,163 and 600,673.50 is: 1,297,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,163 : 600,673.50 = 600,673.50 : x
  2. Step 2: Convert to fraction form
    278,163/600,673.50 = 600,673.50/x
  3. Step 3: Cross multiply
    278,163x = 600,673.50 × 600,673.50
  4. Step 4: Simplify right side
    278,163x = 360,808,653,602.25
  5. Step 5: Solve for x
    x = 360,808,653,602.25/278,163
  6. Step 6: Final answer
    x = 1,297,112.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.