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Finding the Third Proportional to 425,012.06 and 589,064.91

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Solution

The third proportional to 425,012.06 and 589,064.91 is: 816,441.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,012.06 : 589,064.91 = 589,064.91 : x
  2. Step 2: Convert to fraction form
    425,012.06/589,064.91 = 589,064.91/x
  3. Step 3: Cross multiply
    425,012.06x = 589,064.91 × 589,064.91
  4. Step 4: Simplify right side
    425,012.06x = 346,997,463,775.32
  5. Step 5: Solve for x
    x = 346,997,463,775.32/425,012.06
  6. Step 6: Final answer
    x = 816,441.45

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.