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Finding the Third Proportional to 288,444 and 447,789

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Solution

The third proportional to 288,444 and 447,789 is: 695,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,444 : 447,789 = 447,789 : x
  2. Step 2: Convert to fraction form
    288,444/447,789 = 447,789/x
  3. Step 3: Cross multiply
    288,444x = 447,789 × 447,789
  4. Step 4: Simplify right side
    288,444x = 200,514,988,521
  5. Step 5: Solve for x
    x = 200,514,988,521/288,444
  6. Step 6: Final answer
    x = 695,160.89

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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.