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Finding the Third Proportional to 346,639.50 and 745,017.75

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Solution

The third proportional to 346,639.50 and 745,017.75 is: 1,601,235.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,639.50 : 745,017.75 = 745,017.75 : x
  2. Step 2: Convert to fraction form
    346,639.50/745,017.75 = 745,017.75/x
  3. Step 3: Cross multiply
    346,639.50x = 745,017.75 × 745,017.75
  4. Step 4: Simplify right side
    346,639.50x = 555,051,447,815.06
  5. Step 5: Solve for x
    x = 555,051,447,815.06/346,639.50
  6. Step 6: Final answer
    x = 1,601,235.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.