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Finding the Third Proportional to 301,786 and 452,715

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Solution

The third proportional to 301,786 and 452,715 is: 679,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,786 : 452,715 = 452,715 : x
  2. Step 2: Convert to fraction form
    301,786/452,715 = 452,715/x
  3. Step 3: Cross multiply
    301,786x = 452,715 × 452,715
  4. Step 4: Simplify right side
    301,786x = 204,950,871,225
  5. Step 5: Solve for x
    x = 204,950,871,225/301,786
  6. Step 6: Final answer
    x = 679,126.50

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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.