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Finding the Third Proportional to 197,624 and 439,460

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Solution

The third proportional to 197,624 and 439,460 is: 977,235.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,624 : 439,460 = 439,460 : x
  2. Step 2: Convert to fraction form
    197,624/439,460 = 439,460/x
  3. Step 3: Cross multiply
    197,624x = 439,460 × 439,460
  4. Step 4: Simplify right side
    197,624x = 193,125,091,600
  5. Step 5: Solve for x
    x = 193,125,091,600/197,624
  6. Step 6: Final answer
    x = 977,235.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.