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Finding the Third Proportional to 524,162 and 785,421

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Solution

The third proportional to 524,162 and 785,421 is: 1,176,899.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,162 : 785,421 = 785,421 : x
  2. Step 2: Convert to fraction form
    524,162/785,421 = 785,421/x
  3. Step 3: Cross multiply
    524,162x = 785,421 × 785,421
  4. Step 4: Simplify right side
    524,162x = 616,886,147,241
  5. Step 5: Solve for x
    x = 616,886,147,241/524,162
  6. Step 6: Final answer
    x = 1,176,899.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.