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Finding the Third Proportional to 325,430 and 700,814

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Solution

The third proportional to 325,430 and 700,814 is: 1,509,204.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,430 : 700,814 = 700,814 : x
  2. Step 2: Convert to fraction form
    325,430/700,814 = 700,814/x
  3. Step 3: Cross multiply
    325,430x = 700,814 × 700,814
  4. Step 4: Simplify right side
    325,430x = 491,140,262,596
  5. Step 5: Solve for x
    x = 491,140,262,596/325,430
  6. Step 6: Final answer
    x = 1,509,204.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.