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Finding the Third Proportional to 482,464.11 and 709,662.91

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Solution

The third proportional to 482,464.11 and 709,662.91 is: 1,043,852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,464.11 : 709,662.91 = 709,662.91 : x
  2. Step 2: Convert to fraction form
    482,464.11/709,662.91 = 709,662.91/x
  3. Step 3: Cross multiply
    482,464.11x = 709,662.91 × 709,662.91
  4. Step 4: Simplify right side
    482,464.11x = 503,621,440,507.20
  5. Step 5: Solve for x
    x = 503,621,440,507.20/482,464.11
  6. Step 6: Final answer
    x = 1,043,852.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.