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Finding the Third Proportional to 418,084 and 631,014

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Solution

The third proportional to 418,084 and 631,014 is: 952,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,084 : 631,014 = 631,014 : x
  2. Step 2: Convert to fraction form
    418,084/631,014 = 631,014/x
  3. Step 3: Cross multiply
    418,084x = 631,014 × 631,014
  4. Step 4: Simplify right side
    418,084x = 398,178,668,196
  5. Step 5: Solve for x
    x = 398,178,668,196/418,084
  6. Step 6: Final answer
    x = 952,389.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.