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Finding the Third Proportional to 343,159 and 524,944

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Solution

The third proportional to 343,159 and 524,944 is: 803,027.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,159 : 524,944 = 524,944 : x
  2. Step 2: Convert to fraction form
    343,159/524,944 = 524,944/x
  3. Step 3: Cross multiply
    343,159x = 524,944 × 524,944
  4. Step 4: Simplify right side
    343,159x = 275,566,203,136
  5. Step 5: Solve for x
    x = 275,566,203,136/343,159
  6. Step 6: Final answer
    x = 803,027.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.