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Finding the Third Proportional to 234,146 and 503,428

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Solution

The third proportional to 234,146 and 503,428 is: 1,082,400.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,146 : 503,428 = 503,428 : x
  2. Step 2: Convert to fraction form
    234,146/503,428 = 503,428/x
  3. Step 3: Cross multiply
    234,146x = 503,428 × 503,428
  4. Step 4: Simplify right side
    234,146x = 253,439,751,184
  5. Step 5: Solve for x
    x = 253,439,751,184/234,146
  6. Step 6: Final answer
    x = 1,082,400.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.