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Finding the Third Proportional to 297,608 and 447,091

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Solution

The third proportional to 297,608 and 447,091 is: 671,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,608 : 447,091 = 447,091 : x
  2. Step 2: Convert to fraction form
    297,608/447,091 = 447,091/x
  3. Step 3: Cross multiply
    297,608x = 447,091 × 447,091
  4. Step 4: Simplify right side
    297,608x = 199,890,362,281
  5. Step 5: Solve for x
    x = 199,890,362,281/297,608
  6. Step 6: Final answer
    x = 671,656.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.