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Finding the Third Proportional to 328,128 and 701,754

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Solution

The third proportional to 328,128 and 701,754 is: 1,500,812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,128 : 701,754 = 701,754 : x
  2. Step 2: Convert to fraction form
    328,128/701,754 = 701,754/x
  3. Step 3: Cross multiply
    328,128x = 701,754 × 701,754
  4. Step 4: Simplify right side
    328,128x = 492,458,676,516
  5. Step 5: Solve for x
    x = 492,458,676,516/328,128
  6. Step 6: Final answer
    x = 1,500,812.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.