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Finding the Third Proportional to 507,444.75 and 1,103,417.44

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Solution

The third proportional to 507,444.75 and 1,103,417.44 is: 2,399,335.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,444.75 : 1,103,417.44 = 1,103,417.44 : x
  2. Step 2: Convert to fraction form
    507,444.75/1,103,417.44 = 1,103,417.44/x
  3. Step 3: Cross multiply
    507,444.75x = 1,103,417.44 × 1,103,417.44
  4. Step 4: Simplify right side
    507,444.75x = 1,217,530,041,379.07
  5. Step 5: Solve for x
    x = 1,217,530,041,379.07/507,444.75
  6. Step 6: Final answer
    x = 2,399,335.18

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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.