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Finding the Third Proportional to 524,643 and 786,972

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Solution

The third proportional to 524,643 and 786,972 is: 1,180,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,643 : 786,972 = 786,972 : x
  2. Step 2: Convert to fraction form
    524,643/786,972 = 786,972/x
  3. Step 3: Cross multiply
    524,643x = 786,972 × 786,972
  4. Step 4: Simplify right side
    524,643x = 619,324,928,784
  5. Step 5: Solve for x
    x = 619,324,928,784/524,643
  6. Step 6: Final answer
    x = 1,180,469.25

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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.