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Finding the Third Proportional to 713,754 and 968,899.50

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Solution

The third proportional to 713,754 and 968,899.50 is: 1,315,251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,754 : 968,899.50 = 968,899.50 : x
  2. Step 2: Convert to fraction form
    713,754/968,899.50 = 968,899.50/x
  3. Step 3: Cross multiply
    713,754x = 968,899.50 × 968,899.50
  4. Step 4: Simplify right side
    713,754x = 938,766,241,100.25
  5. Step 5: Solve for x
    x = 938,766,241,100.25/713,754
  6. Step 6: Final answer
    x = 1,315,251.81

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.