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Finding the Third Proportional to 586,955.75 and 927,719.75

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Solution

The third proportional to 586,955.75 and 927,719.75 is: 1,466,318.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,955.75 : 927,719.75 = 927,719.75 : x
  2. Step 2: Convert to fraction form
    586,955.75/927,719.75 = 927,719.75/x
  3. Step 3: Cross multiply
    586,955.75x = 927,719.75 × 927,719.75
  4. Step 4: Simplify right side
    586,955.75x = 860,663,934,540.06
  5. Step 5: Solve for x
    x = 860,663,934,540.06/586,955.75
  6. Step 6: Final answer
    x = 1,466,318.26

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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.