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Finding the Third Proportional to 456,818 and 696,015

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Solution

The third proportional to 456,818 and 696,015 is: 1,060,459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,818 : 696,015 = 696,015 : x
  2. Step 2: Convert to fraction form
    456,818/696,015 = 696,015/x
  3. Step 3: Cross multiply
    456,818x = 696,015 × 696,015
  4. Step 4: Simplify right side
    456,818x = 484,436,880,225
  5. Step 5: Solve for x
    x = 484,436,880,225/456,818
  6. Step 6: Final answer
    x = 1,060,459.26

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.