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Finding the Third Proportional to 434,944 and 612,496

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Solution

The third proportional to 434,944 and 612,496 is: 862,527.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,944 : 612,496 = 612,496 : x
  2. Step 2: Convert to fraction form
    434,944/612,496 = 612,496/x
  3. Step 3: Cross multiply
    434,944x = 612,496 × 612,496
  4. Step 4: Simplify right side
    434,944x = 375,151,350,016
  5. Step 5: Solve for x
    x = 375,151,350,016/434,944
  6. Step 6: Final answer
    x = 862,527.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.