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Finding the Third Proportional to 197,481 and 432,465

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Solution

The third proportional to 197,481 and 432,465 is: 947,058.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,481 : 432,465 = 432,465 : x
  2. Step 2: Convert to fraction form
    197,481/432,465 = 432,465/x
  3. Step 3: Cross multiply
    197,481x = 432,465 × 432,465
  4. Step 4: Simplify right side
    197,481x = 187,025,976,225
  5. Step 5: Solve for x
    x = 187,025,976,225/197,481
  6. Step 6: Final answer
    x = 947,058.08

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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.