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Finding the Third Proportional to 524,603 and 941,246

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Solution

The third proportional to 524,603 and 941,246 is: 1,688,789.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,603 : 941,246 = 941,246 : x
  2. Step 2: Convert to fraction form
    524,603/941,246 = 941,246/x
  3. Step 3: Cross multiply
    524,603x = 941,246 × 941,246
  4. Step 4: Simplify right side
    524,603x = 885,944,032,516
  5. Step 5: Solve for x
    x = 885,944,032,516/524,603
  6. Step 6: Final answer
    x = 1,688,789.49

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.