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Finding the Third Proportional to 524,430 and 786,357

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Solution

The third proportional to 524,430 and 786,357 is: 1,179,103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,430 : 786,357 = 786,357 : x
  2. Step 2: Convert to fraction form
    524,430/786,357 = 786,357/x
  3. Step 3: Cross multiply
    524,430x = 786,357 × 786,357
  4. Step 4: Simplify right side
    524,430x = 618,357,331,449
  5. Step 5: Solve for x
    x = 618,357,331,449/524,430
  6. Step 6: Final answer
    x = 1,179,103.66

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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.