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Finding the Third Proportional to 332,906 and 719,020

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Solution

The third proportional to 332,906 and 719,020 is: 1,552,960.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,906 : 719,020 = 719,020 : x
  2. Step 2: Convert to fraction form
    332,906/719,020 = 719,020/x
  3. Step 3: Cross multiply
    332,906x = 719,020 × 719,020
  4. Step 4: Simplify right side
    332,906x = 516,989,760,400
  5. Step 5: Solve for x
    x = 516,989,760,400/332,906
  6. Step 6: Final answer
    x = 1,552,960.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.