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Finding the Third Proportional to 608,827.50 and 964,008

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Solution

The third proportional to 608,827.50 and 964,008 is: 1,526,395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,827.50 : 964,008 = 964,008 : x
  2. Step 2: Convert to fraction form
    608,827.50/964,008 = 964,008/x
  3. Step 3: Cross multiply
    608,827.50x = 964,008 × 964,008
  4. Step 4: Simplify right side
    608,827.50x = 929,311,424,064
  5. Step 5: Solve for x
    x = 929,311,424,064/608,827.50
  6. Step 6: Final answer
    x = 1,526,395.28

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.