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Finding the Third Proportional to 375,782.50 and 788,491

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Solution

The third proportional to 375,782.50 and 788,491 is: 1,654,462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,782.50 : 788,491 = 788,491 : x
  2. Step 2: Convert to fraction form
    375,782.50/788,491 = 788,491/x
  3. Step 3: Cross multiply
    375,782.50x = 788,491 × 788,491
  4. Step 4: Simplify right side
    375,782.50x = 621,718,057,081
  5. Step 5: Solve for x
    x = 621,718,057,081/375,782.50
  6. Step 6: Final answer
    x = 1,654,462.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.