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Finding the Third Proportional to 197,490.75 and 432,484.50

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Solution

The third proportional to 197,490.75 and 432,484.50 is: 947,096.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,490.75 : 432,484.50 = 432,484.50 : x
  2. Step 2: Convert to fraction form
    197,490.75/432,484.50 = 432,484.50/x
  3. Step 3: Cross multiply
    197,490.75x = 432,484.50 × 432,484.50
  4. Step 4: Simplify right side
    197,490.75x = 187,042,842,740.25
  5. Step 5: Solve for x
    x = 187,042,842,740.25/197,490.75
  6. Step 6: Final answer
    x = 947,096.73

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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.