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Finding the Third Proportional to 340,769 and 716,814

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Solution

The third proportional to 340,769 and 716,814 is: 1,507,831.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,769 : 716,814 = 716,814 : x
  2. Step 2: Convert to fraction form
    340,769/716,814 = 716,814/x
  3. Step 3: Cross multiply
    340,769x = 716,814 × 716,814
  4. Step 4: Simplify right side
    340,769x = 513,822,310,596
  5. Step 5: Solve for x
    x = 513,822,310,596/340,769
  6. Step 6: Final answer
    x = 1,507,831.73

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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.