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Finding the Third Proportional to 288,762 and 446,271

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Solution

The third proportional to 288,762 and 446,271 is: 689,695.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,762 : 446,271 = 446,271 : x
  2. Step 2: Convert to fraction form
    288,762/446,271 = 446,271/x
  3. Step 3: Cross multiply
    288,762x = 446,271 × 446,271
  4. Step 4: Simplify right side
    288,762x = 199,157,805,441
  5. Step 5: Solve for x
    x = 199,157,805,441/288,762
  6. Step 6: Final answer
    x = 689,695.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.