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Finding the Third Proportional to 325,138 and 695,364

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Solution

The third proportional to 325,138 and 695,364 is: 1,487,156.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,138 : 695,364 = 695,364 : x
  2. Step 2: Convert to fraction form
    325,138/695,364 = 695,364/x
  3. Step 3: Cross multiply
    325,138x = 695,364 × 695,364
  4. Step 4: Simplify right side
    325,138x = 483,531,092,496
  5. Step 5: Solve for x
    x = 483,531,092,496/325,138
  6. Step 6: Final answer
    x = 1,487,156.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.