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Finding the Third Proportional to 356,819 and 521,833

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Solution

The third proportional to 356,819 and 521,833 is: 763,159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,819 : 521,833 = 521,833 : x
  2. Step 2: Convert to fraction form
    356,819/521,833 = 521,833/x
  3. Step 3: Cross multiply
    356,819x = 521,833 × 521,833
  4. Step 4: Simplify right side
    356,819x = 272,309,679,889
  5. Step 5: Solve for x
    x = 272,309,679,889/356,819
  6. Step 6: Final answer
    x = 763,159.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.