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Finding the Third Proportional to 636,966 and 977,563.50

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Solution

The third proportional to 636,966 and 977,563.50 is: 1,500,284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,966 : 977,563.50 = 977,563.50 : x
  2. Step 2: Convert to fraction form
    636,966/977,563.50 = 977,563.50/x
  3. Step 3: Cross multiply
    636,966x = 977,563.50 × 977,563.50
  4. Step 4: Simplify right side
    636,966x = 955,630,396,532.25
  5. Step 5: Solve for x
    x = 955,630,396,532.25/636,966
  6. Step 6: Final answer
    x = 1,500,284.78

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.