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Finding the Third Proportional to 234,868 and 514,623

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Solution

The third proportional to 234,868 and 514,623 is: 1,127,598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,868 : 514,623 = 514,623 : x
  2. Step 2: Convert to fraction form
    234,868/514,623 = 514,623/x
  3. Step 3: Cross multiply
    234,868x = 514,623 × 514,623
  4. Step 4: Simplify right side
    234,868x = 264,836,832,129
  5. Step 5: Solve for x
    x = 264,836,832,129/234,868
  6. Step 6: Final answer
    x = 1,127,598.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.