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Finding the Third Proportional to 309,642 and 670,810

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Solution

The third proportional to 309,642 and 670,810 is: 1,453,246.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,642 : 670,810 = 670,810 : x
  2. Step 2: Convert to fraction form
    309,642/670,810 = 670,810/x
  3. Step 3: Cross multiply
    309,642x = 670,810 × 670,810
  4. Step 4: Simplify right side
    309,642x = 449,986,056,100
  5. Step 5: Solve for x
    x = 449,986,056,100/309,642
  6. Step 6: Final answer
    x = 1,453,246.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.