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Finding the Third Proportional to 401,462.16 and 591,104.25

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Solution

The third proportional to 401,462.16 and 591,104.25 is: 870,329.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,462.16 : 591,104.25 = 591,104.25 : x
  2. Step 2: Convert to fraction form
    401,462.16/591,104.25 = 591,104.25/x
  3. Step 3: Cross multiply
    401,462.16x = 591,104.25 × 591,104.25
  4. Step 4: Simplify right side
    401,462.16x = 349,404,234,368.06
  5. Step 5: Solve for x
    x = 349,404,234,368.06/401,462.16
  6. Step 6: Final answer
    x = 870,329.19

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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.