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Finding the Third Proportional to 349,962.75 and 767,727

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Solution

The third proportional to 349,962.75 and 767,727 is: 1,684,192.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,962.75 : 767,727 = 767,727 : x
  2. Step 2: Convert to fraction form
    349,962.75/767,727 = 767,727/x
  3. Step 3: Cross multiply
    349,962.75x = 767,727 × 767,727
  4. Step 4: Simplify right side
    349,962.75x = 589,404,746,529
  5. Step 5: Solve for x
    x = 589,404,746,529/349,962.75
  6. Step 6: Final answer
    x = 1,684,192.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.