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Finding the Third Proportional to 375,003.50 and 821,239

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Solution

The third proportional to 375,003.50 and 821,239 is: 1,798,472.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,003.50 : 821,239 = 821,239 : x
  2. Step 2: Convert to fraction form
    375,003.50/821,239 = 821,239/x
  3. Step 3: Cross multiply
    375,003.50x = 821,239 × 821,239
  4. Step 4: Simplify right side
    375,003.50x = 674,433,495,121
  5. Step 5: Solve for x
    x = 674,433,495,121/375,003.50
  6. Step 6: Final answer
    x = 1,798,472.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.