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Finding the Third Proportional to 611,577 and 880,915.50

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Solution

The third proportional to 611,577 and 880,915.50 is: 1,268,870.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,577 : 880,915.50 = 880,915.50 : x
  2. Step 2: Convert to fraction form
    611,577/880,915.50 = 880,915.50/x
  3. Step 3: Cross multiply
    611,577x = 880,915.50 × 880,915.50
  4. Step 4: Simplify right side
    611,577x = 776,012,118,140.25
  5. Step 5: Solve for x
    x = 776,012,118,140.25/611,577
  6. Step 6: Final answer
    x = 1,268,870.67

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.