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Finding the Third Proportional to 498,138.75 and 1,031,720.63

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Solution

The third proportional to 498,138.75 and 1,031,720.63 is: 2,136,849.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,138.75 : 1,031,720.63 = 1,031,720.63 : x
  2. Step 2: Convert to fraction form
    498,138.75/1,031,720.63 = 1,031,720.63/x
  3. Step 3: Cross multiply
    498,138.75x = 1,031,720.63 × 1,031,720.63
  4. Step 4: Simplify right side
    498,138.75x = 1,064,447,448,050.39
  5. Step 5: Solve for x
    x = 1,064,447,448,050.39/498,138.75
  6. Step 6: Final answer
    x = 2,136,849.32

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.