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Finding the Third Proportional to 332,718 and 706,968

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Solution

The third proportional to 332,718 and 706,968 is: 1,502,184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,718 : 706,968 = 706,968 : x
  2. Step 2: Convert to fraction form
    332,718/706,968 = 706,968/x
  3. Step 3: Cross multiply
    332,718x = 706,968 × 706,968
  4. Step 4: Simplify right side
    332,718x = 499,803,753,024
  5. Step 5: Solve for x
    x = 499,803,753,024/332,718
  6. Step 6: Final answer
    x = 1,502,184.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.