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Finding the Third Proportional to 319,366 and 695,433

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Solution

The third proportional to 319,366 and 695,433 is: 1,514,334.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,366 : 695,433 = 695,433 : x
  2. Step 2: Convert to fraction form
    319,366/695,433 = 695,433/x
  3. Step 3: Cross multiply
    319,366x = 695,433 × 695,433
  4. Step 4: Simplify right side
    319,366x = 483,627,057,489
  5. Step 5: Solve for x
    x = 483,627,057,489/319,366
  6. Step 6: Final answer
    x = 1,514,334.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.