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Finding the Third Proportional to 234,964 and 522,248

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Solution

The third proportional to 234,964 and 522,248 is: 1,160,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,964 : 522,248 = 522,248 : x
  2. Step 2: Convert to fraction form
    234,964/522,248 = 522,248/x
  3. Step 3: Cross multiply
    234,964x = 522,248 × 522,248
  4. Step 4: Simplify right side
    234,964x = 272,742,973,504
  5. Step 5: Solve for x
    x = 272,742,973,504/234,964
  6. Step 6: Final answer
    x = 1,160,786.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.