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Finding the Third Proportional to 290,864 and 446,926

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Solution

The third proportional to 290,864 and 446,926 is: 686,722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,864 : 446,926 = 446,926 : x
  2. Step 2: Convert to fraction form
    290,864/446,926 = 446,926/x
  3. Step 3: Cross multiply
    290,864x = 446,926 × 446,926
  4. Step 4: Simplify right side
    290,864x = 199,742,849,476
  5. Step 5: Solve for x
    x = 199,742,849,476/290,864
  6. Step 6: Final answer
    x = 686,722.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.