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Finding the Third Proportional to 401,451.19 and 586,158.71

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Solution

The third proportional to 401,451.19 and 586,158.71 is: 855,850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,451.19 : 586,158.71 = 586,158.71 : x
  2. Step 2: Convert to fraction form
    401,451.19/586,158.71 = 586,158.71/x
  3. Step 3: Cross multiply
    401,451.19x = 586,158.71 × 586,158.71
  4. Step 4: Simplify right side
    401,451.19x = 343,582,038,987.28
  5. Step 5: Solve for x
    x = 343,582,038,987.28/401,451.19
  6. Step 6: Final answer
    x = 855,850.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.