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Finding the Third Proportional to 604,014 and 885,718

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Solution

The third proportional to 604,014 and 885,718 is: 1,298,804.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,014 : 885,718 = 885,718 : x
  2. Step 2: Convert to fraction form
    604,014/885,718 = 885,718/x
  3. Step 3: Cross multiply
    604,014x = 885,718 × 885,718
  4. Step 4: Simplify right side
    604,014x = 784,496,375,524
  5. Step 5: Solve for x
    x = 784,496,375,524/604,014
  6. Step 6: Final answer
    x = 1,298,804.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.