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Finding the Third Proportional to 589,950 and 895,799.25

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Solution

The third proportional to 589,950 and 895,799.25 is: 1,360,210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,950 : 895,799.25 = 895,799.25 : x
  2. Step 2: Convert to fraction form
    589,950/895,799.25 = 895,799.25/x
  3. Step 3: Cross multiply
    589,950x = 895,799.25 × 895,799.25
  4. Step 4: Simplify right side
    589,950x = 802,456,296,300.56
  5. Step 5: Solve for x
    x = 802,456,296,300.56/589,950
  6. Step 6: Final answer
    x = 1,360,210.69

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.