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Finding the Third Proportional to 401,896 and 590,748

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Solution

The third proportional to 401,896 and 590,748 is: 868,342.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,896 : 590,748 = 590,748 : x
  2. Step 2: Convert to fraction form
    401,896/590,748 = 590,748/x
  3. Step 3: Cross multiply
    401,896x = 590,748 × 590,748
  4. Step 4: Simplify right side
    401,896x = 348,983,199,504
  5. Step 5: Solve for x
    x = 348,983,199,504/401,896
  6. Step 6: Final answer
    x = 868,342.06

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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.