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Finding the Third Proportional to 212,071.29 and 461,459.53

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Solution

The third proportional to 212,071.29 and 461,459.53 is: 1,004,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,071.29 : 461,459.53 = 461,459.53 : x
  2. Step 2: Convert to fraction form
    212,071.29/461,459.53 = 461,459.53/x
  3. Step 3: Cross multiply
    212,071.29x = 461,459.53 × 461,459.53
  4. Step 4: Simplify right side
    212,071.29x = 212,944,898,981.47
  5. Step 5: Solve for x
    x = 212,944,898,981.47/212,071.29
  6. Step 6: Final answer
    x = 1,004,119.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.