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Finding the Third Proportional to 340,648 and 716,570

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Solution

The third proportional to 340,648 and 716,570 is: 1,507,340.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,648 : 716,570 = 716,570 : x
  2. Step 2: Convert to fraction form
    340,648/716,570 = 716,570/x
  3. Step 3: Cross multiply
    340,648x = 716,570 × 716,570
  4. Step 4: Simplify right side
    340,648x = 513,472,564,900
  5. Step 5: Solve for x
    x = 513,472,564,900/340,648
  6. Step 6: Final answer
    x = 1,507,340.61

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