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Finding the Third Proportional to 297,552 and 654,072

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Solution

The third proportional to 297,552 and 654,072 is: 1,437,766.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,552 : 654,072 = 654,072 : x
  2. Step 2: Convert to fraction form
    297,552/654,072 = 654,072/x
  3. Step 3: Cross multiply
    297,552x = 654,072 × 654,072
  4. Step 4: Simplify right side
    297,552x = 427,810,181,184
  5. Step 5: Solve for x
    x = 427,810,181,184/297,552
  6. Step 6: Final answer
    x = 1,437,766.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.