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Finding the Third Proportional to 301,626 and 663,026.50

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Solution

The third proportional to 301,626 and 663,026.50 is: 1,457,447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,626 : 663,026.50 = 663,026.50 : x
  2. Step 2: Convert to fraction form
    301,626/663,026.50 = 663,026.50/x
  3. Step 3: Cross multiply
    301,626x = 663,026.50 × 663,026.50
  4. Step 4: Simplify right side
    301,626x = 439,604,139,702.25
  5. Step 5: Solve for x
    x = 439,604,139,702.25/301,626
  6. Step 6: Final answer
    x = 1,457,447.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.