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Finding the Third Proportional to 278,212 and 600,776

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Solution

The third proportional to 278,212 and 600,776 is: 1,297,326.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,212 : 600,776 = 600,776 : x
  2. Step 2: Convert to fraction form
    278,212/600,776 = 600,776/x
  3. Step 3: Cross multiply
    278,212x = 600,776 × 600,776
  4. Step 4: Simplify right side
    278,212x = 360,931,802,176
  5. Step 5: Solve for x
    x = 360,931,802,176/278,212
  6. Step 6: Final answer
    x = 1,297,326.51

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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.