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Finding the Third Proportional to 655,385 and 885,468

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Solution

The third proportional to 655,385 and 885,468 is: 1,196,325.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,385 : 885,468 = 885,468 : x
  2. Step 2: Convert to fraction form
    655,385/885,468 = 885,468/x
  3. Step 3: Cross multiply
    655,385x = 885,468 × 885,468
  4. Step 4: Simplify right side
    655,385x = 784,053,579,024
  5. Step 5: Solve for x
    x = 784,053,579,024/655,385
  6. Step 6: Final answer
    x = 1,196,325.18

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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.