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Finding the Third Proportional to 653,380.80 and 1,401,345.25

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Solution

The third proportional to 653,380.80 and 1,401,345.25 is: 3,005,549.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,380.80 : 1,401,345.25 = 1,401,345.25 : x
  2. Step 2: Convert to fraction form
    653,380.80/1,401,345.25 = 1,401,345.25/x
  3. Step 3: Cross multiply
    653,380.80x = 1,401,345.25 × 1,401,345.25
  4. Step 4: Simplify right side
    653,380.80x = 1,963,768,498,749.69
  5. Step 5: Solve for x
    x = 1,963,768,498,749.69/653,380.80
  6. Step 6: Final answer
    x = 3,005,549.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.