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Finding the Third Proportional to 655,364 and 885,435

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Solution

The third proportional to 655,364 and 885,435 is: 1,196,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,364 : 885,435 = 885,435 : x
  2. Step 2: Convert to fraction form
    655,364/885,435 = 885,435/x
  3. Step 3: Cross multiply
    655,364x = 885,435 × 885,435
  4. Step 4: Simplify right side
    655,364x = 783,995,139,225
  5. Step 5: Solve for x
    x = 783,995,139,225/655,364
  6. Step 6: Final answer
    x = 1,196,274.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.