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Finding the Third Proportional to 456,516 and 686,154

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Solution

The third proportional to 456,516 and 686,154 is: 1,031,305.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,516 : 686,154 = 686,154 : x
  2. Step 2: Convert to fraction form
    456,516/686,154 = 686,154/x
  3. Step 3: Cross multiply
    456,516x = 686,154 × 686,154
  4. Step 4: Simplify right side
    456,516x = 470,807,311,716
  5. Step 5: Solve for x
    x = 470,807,311,716/456,516
  6. Step 6: Final answer
    x = 1,031,305.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.