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Finding the Third Proportional to 482,468.91 and 709,670.11

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Solution

The third proportional to 482,468.91 and 709,670.11 is: 1,043,863.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,468.91 : 709,670.11 = 709,670.11 : x
  2. Step 2: Convert to fraction form
    482,468.91/709,670.11 = 709,670.11/x
  3. Step 3: Cross multiply
    482,468.91x = 709,670.11 × 709,670.11
  4. Step 4: Simplify right side
    482,468.91x = 503,631,664,140.32
  5. Step 5: Solve for x
    x = 503,631,664,140.32/482,468.91
  6. Step 6: Final answer
    x = 1,043,863.46

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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.