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Finding the Third Proportional to 297,054 and 623,754

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Solution

The third proportional to 297,054 and 623,754 is: 1,309,758.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,054 : 623,754 = 623,754 : x
  2. Step 2: Convert to fraction form
    297,054/623,754 = 623,754/x
  3. Step 3: Cross multiply
    297,054x = 623,754 × 623,754
  4. Step 4: Simplify right side
    297,054x = 389,069,052,516
  5. Step 5: Solve for x
    x = 389,069,052,516/297,054
  6. Step 6: Final answer
    x = 1,309,758.67

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.