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Finding the Third Proportional to 190,464 and 414,792

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Solution

The third proportional to 190,464 and 414,792 is: 903,332.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,464 : 414,792 = 414,792 : x
  2. Step 2: Convert to fraction form
    190,464/414,792 = 414,792/x
  3. Step 3: Cross multiply
    190,464x = 414,792 × 414,792
  4. Step 4: Simplify right side
    190,464x = 172,052,403,264
  5. Step 5: Solve for x
    x = 172,052,403,264/190,464
  6. Step 6: Final answer
    x = 903,332.93

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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.