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Finding the Third Proportional to 332,680 and 719,984

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Solution

The third proportional to 332,680 and 719,984 is: 1,558,184.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,680 : 719,984 = 719,984 : x
  2. Step 2: Convert to fraction form
    332,680/719,984 = 719,984/x
  3. Step 3: Cross multiply
    332,680x = 719,984 × 719,984
  4. Step 4: Simplify right side
    332,680x = 518,376,960,256
  5. Step 5: Solve for x
    x = 518,376,960,256/332,680
  6. Step 6: Final answer
    x = 1,558,184.92

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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.