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Finding the Third Proportional to 290,894 and 450,165

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Solution

The third proportional to 290,894 and 450,165 is: 696,640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,894 : 450,165 = 450,165 : x
  2. Step 2: Convert to fraction form
    290,894/450,165 = 450,165/x
  3. Step 3: Cross multiply
    290,894x = 450,165 × 450,165
  4. Step 4: Simplify right side
    290,894x = 202,648,527,225
  5. Step 5: Solve for x
    x = 202,648,527,225/290,894
  6. Step 6: Final answer
    x = 696,640.45

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Why These Related Problems?

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