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Finding the Third Proportional to 352,892.95 and 547,205.63

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Solution

The third proportional to 352,892.95 and 547,205.63 is: 848,512.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,892.95 : 547,205.63 = 547,205.63 : x
  2. Step 2: Convert to fraction form
    352,892.95/547,205.63 = 547,205.63/x
  3. Step 3: Cross multiply
    352,892.95x = 547,205.63 × 547,205.63
  4. Step 4: Simplify right side
    352,892.95x = 299,433,996,031.64
  5. Step 5: Solve for x
    x = 299,433,996,031.64/352,892.95
  6. Step 6: Final answer
    x = 848,512.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.