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Finding the Third Proportional to 197,582 and 432,640

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Solution

The third proportional to 197,582 and 432,640 is: 947,340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,582 : 432,640 = 432,640 : x
  2. Step 2: Convert to fraction form
    197,582/432,640 = 432,640/x
  3. Step 3: Cross multiply
    197,582x = 432,640 × 432,640
  4. Step 4: Simplify right side
    197,582x = 187,177,369,600
  5. Step 5: Solve for x
    x = 187,177,369,600/197,582
  6. Step 6: Final answer
    x = 947,340.19

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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.