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Finding the Third Proportional to 197,062 and 433,490

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Solution

The third proportional to 197,062 and 433,490 is: 953,575.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,062 : 433,490 = 433,490 : x
  2. Step 2: Convert to fraction form
    197,062/433,490 = 433,490/x
  3. Step 3: Cross multiply
    197,062x = 433,490 × 433,490
  4. Step 4: Simplify right side
    197,062x = 187,913,580,100
  5. Step 5: Solve for x
    x = 187,913,580,100/197,062
  6. Step 6: Final answer
    x = 953,575.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.