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Finding the Third Proportional to 364,192.50 and 571,310.25

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Solution

The third proportional to 364,192.50 and 571,310.25 is: 896,216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,192.50 : 571,310.25 = 571,310.25 : x
  2. Step 2: Convert to fraction form
    364,192.50/571,310.25 = 571,310.25/x
  3. Step 3: Cross multiply
    364,192.50x = 571,310.25 × 571,310.25
  4. Step 4: Simplify right side
    364,192.50x = 326,395,401,755.06
  5. Step 5: Solve for x
    x = 326,395,401,755.06/364,192.50
  6. Step 6: Final answer
    x = 896,216.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.