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Finding the Third Proportional to 495,993.38 and 742,064.63

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Solution

The third proportional to 495,993.38 and 742,064.63 is: 1,110,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,993.38 : 742,064.63 = 742,064.63 : x
  2. Step 2: Convert to fraction form
    495,993.38/742,064.63 = 742,064.63/x
  3. Step 3: Cross multiply
    495,993.38x = 742,064.63 × 742,064.63
  4. Step 4: Simplify right side
    495,993.38x = 550,659,907,676.39
  5. Step 5: Solve for x
    x = 550,659,907,676.39/495,993.38
  6. Step 6: Final answer
    x = 1,110,216.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.