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Finding the Third Proportional to 589,761 and 895,585.50

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Solution

The third proportional to 589,761 and 895,585.50 is: 1,359,997.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,761 : 895,585.50 = 895,585.50 : x
  2. Step 2: Convert to fraction form
    589,761/895,585.50 = 895,585.50/x
  3. Step 3: Cross multiply
    589,761x = 895,585.50 × 895,585.50
  4. Step 4: Simplify right side
    589,761x = 802,073,387,810.25
  5. Step 5: Solve for x
    x = 802,073,387,810.25/589,761
  6. Step 6: Final answer
    x = 1,359,997.33

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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.