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Finding the Third Proportional to 197,572 and 432,620

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Solution

The third proportional to 197,572 and 432,620 is: 947,300.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,572 : 432,620 = 432,620 : x
  2. Step 2: Convert to fraction form
    197,572/432,620 = 432,620/x
  3. Step 3: Cross multiply
    197,572x = 432,620 × 432,620
  4. Step 4: Simplify right side
    197,572x = 187,160,064,400
  5. Step 5: Solve for x
    x = 187,160,064,400/197,572
  6. Step 6: Final answer
    x = 947,300.55

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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.