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Finding the Third Proportional to 507,708.63 and 1,080,617.20

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Solution

The third proportional to 507,708.63 and 1,080,617.20 is: 2,300,007.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,708.63 : 1,080,617.20 = 1,080,617.20 : x
  2. Step 2: Convert to fraction form
    507,708.63/1,080,617.20 = 1,080,617.20/x
  3. Step 3: Cross multiply
    507,708.63x = 1,080,617.20 × 1,080,617.20
  4. Step 4: Simplify right side
    507,708.63x = 1,167,733,539,689.70
  5. Step 5: Solve for x
    x = 1,167,733,539,689.70/507,708.63
  6. Step 6: Final answer
    x = 2,300,007.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.