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Finding the Third Proportional to 319,373 and 695,446

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Solution

The third proportional to 319,373 and 695,446 is: 1,514,358.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,373 : 695,446 = 695,446 : x
  2. Step 2: Convert to fraction form
    319,373/695,446 = 695,446/x
  3. Step 3: Cross multiply
    319,373x = 695,446 × 695,446
  4. Step 4: Simplify right side
    319,373x = 483,645,138,916
  5. Step 5: Solve for x
    x = 483,645,138,916/319,373
  6. Step 6: Final answer
    x = 1,514,358.25

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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.