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Finding the Third Proportional to 375,045 and 808,728

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Solution

The third proportional to 375,045 and 808,728 is: 1,743,900.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,045 : 808,728 = 808,728 : x
  2. Step 2: Convert to fraction form
    375,045/808,728 = 808,728/x
  3. Step 3: Cross multiply
    375,045x = 808,728 × 808,728
  4. Step 4: Simplify right side
    375,045x = 654,040,977,984
  5. Step 5: Solve for x
    x = 654,040,977,984/375,045
  6. Step 6: Final answer
    x = 1,743,900.01

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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.