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Finding the Third Proportional to 278,462 and 448,365

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Solution

The third proportional to 278,462 and 448,365 is: 721,933.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,462 : 448,365 = 448,365 : x
  2. Step 2: Convert to fraction form
    278,462/448,365 = 448,365/x
  3. Step 3: Cross multiply
    278,462x = 448,365 × 448,365
  4. Step 4: Simplify right side
    278,462x = 201,031,173,225
  5. Step 5: Solve for x
    x = 201,031,173,225/278,462
  6. Step 6: Final answer
    x = 721,933.96

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.