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Finding the Third Proportional to 325,136 and 695,360

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Solution

The third proportional to 325,136 and 695,360 is: 1,487,148.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,136 : 695,360 = 695,360 : x
  2. Step 2: Convert to fraction form
    325,136/695,360 = 695,360/x
  3. Step 3: Cross multiply
    325,136x = 695,360 × 695,360
  4. Step 4: Simplify right side
    325,136x = 483,525,529,600
  5. Step 5: Solve for x
    x = 483,525,529,600/325,136
  6. Step 6: Final answer
    x = 1,487,148.55

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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.