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Finding the Third Proportional to 320,922 and 695,357

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Solution

The third proportional to 320,922 and 695,357 is: 1,506,663.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,922 : 695,357 = 695,357 : x
  2. Step 2: Convert to fraction form
    320,922/695,357 = 695,357/x
  3. Step 3: Cross multiply
    320,922x = 695,357 × 695,357
  4. Step 4: Simplify right side
    320,922x = 483,521,357,449
  5. Step 5: Solve for x
    x = 483,521,357,449/320,922
  6. Step 6: Final answer
    x = 1,506,663.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.