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Finding the Third Proportional to 414,036.50 and 887,095

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Solution

The third proportional to 414,036.50 and 887,095 is: 1,900,647.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,036.50 : 887,095 = 887,095 : x
  2. Step 2: Convert to fraction form
    414,036.50/887,095 = 887,095/x
  3. Step 3: Cross multiply
    414,036.50x = 887,095 × 887,095
  4. Step 4: Simplify right side
    414,036.50x = 786,937,539,025
  5. Step 5: Solve for x
    x = 786,937,539,025/414,036.50
  6. Step 6: Final answer
    x = 1,900,647.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.