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Finding the Third Proportional to 340,538 and 716,366

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Solution

The third proportional to 340,538 and 716,366 is: 1,506,969.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,538 : 716,366 = 716,366 : x
  2. Step 2: Convert to fraction form
    340,538/716,366 = 716,366/x
  3. Step 3: Cross multiply
    340,538x = 716,366 × 716,366
  4. Step 4: Simplify right side
    340,538x = 513,180,245,956
  5. Step 5: Solve for x
    x = 513,180,245,956/340,538
  6. Step 6: Final answer
    x = 1,506,969.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.