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Finding the Third Proportional to 344,184 and 754,851

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Solution

The third proportional to 344,184 and 754,851 is: 1,655,509.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,184 : 754,851 = 754,851 : x
  2. Step 2: Convert to fraction form
    344,184/754,851 = 754,851/x
  3. Step 3: Cross multiply
    344,184x = 754,851 × 754,851
  4. Step 4: Simplify right side
    344,184x = 569,800,032,201
  5. Step 5: Solve for x
    x = 569,800,032,201/344,184
  6. Step 6: Final answer
    x = 1,655,509.94

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Why These Related Problems?

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