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Finding the Third Proportional to 401,864 and 590,700

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Solution

The third proportional to 401,864 and 590,700 is: 868,270.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,864 : 590,700 = 590,700 : x
  2. Step 2: Convert to fraction form
    401,864/590,700 = 590,700/x
  3. Step 3: Cross multiply
    401,864x = 590,700 × 590,700
  4. Step 4: Simplify right side
    401,864x = 348,926,490,000
  5. Step 5: Solve for x
    x = 348,926,490,000/401,864
  6. Step 6: Final answer
    x = 868,270.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.