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Finding the Third Proportional to 197,624 and 432,724

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Solution

The third proportional to 197,624 and 432,724 is: 947,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,624 : 432,724 = 432,724 : x
  2. Step 2: Convert to fraction form
    197,624/432,724 = 432,724/x
  3. Step 3: Cross multiply
    197,624x = 432,724 × 432,724
  4. Step 4: Simplify right side
    197,624x = 187,250,060,176
  5. Step 5: Solve for x
    x = 187,250,060,176/197,624
  6. Step 6: Final answer
    x = 947,506.68

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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.