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Finding the Third Proportional to 375,041 and 808,720

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Solution

The third proportional to 375,041 and 808,720 is: 1,743,884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,041 : 808,720 = 808,720 : x
  2. Step 2: Convert to fraction form
    375,041/808,720 = 808,720/x
  3. Step 3: Cross multiply
    375,041x = 808,720 × 808,720
  4. Step 4: Simplify right side
    375,041x = 654,028,038,400
  5. Step 5: Solve for x
    x = 654,028,038,400/375,041
  6. Step 6: Final answer
    x = 1,743,884.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.