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Finding the Third Proportional to 586,927.13 and 933,644.25

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Solution

The third proportional to 586,927.13 and 933,644.25 is: 1,485,178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,927.13 : 933,644.25 = 933,644.25 : x
  2. Step 2: Convert to fraction form
    586,927.13/933,644.25 = 933,644.25/x
  3. Step 3: Cross multiply
    586,927.13x = 933,644.25 × 933,644.25
  4. Step 4: Simplify right side
    586,927.13x = 871,691,585,558.06
  5. Step 5: Solve for x
    x = 871,691,585,558.06/586,927.13
  6. Step 6: Final answer
    x = 1,485,178.57

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.