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Finding the Third Proportional to 356,204 and 524,887

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Solution

The third proportional to 356,204 and 524,887 is: 773,451.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,204 : 524,887 = 524,887 : x
  2. Step 2: Convert to fraction form
    356,204/524,887 = 524,887/x
  3. Step 3: Cross multiply
    356,204x = 524,887 × 524,887
  4. Step 4: Simplify right side
    356,204x = 275,506,362,769
  5. Step 5: Solve for x
    x = 275,506,362,769/356,204
  6. Step 6: Final answer
    x = 773,451.06

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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.