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Finding the Third Proportional to 317,844 and 686,101.50

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Solution

The third proportional to 317,844 and 686,101.50 is: 1,481,026.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,844 : 686,101.50 = 686,101.50 : x
  2. Step 2: Convert to fraction form
    317,844/686,101.50 = 686,101.50/x
  3. Step 3: Cross multiply
    317,844x = 686,101.50 × 686,101.50
  4. Step 4: Simplify right side
    317,844x = 470,735,268,302.25
  5. Step 5: Solve for x
    x = 470,735,268,302.25/317,844
  6. Step 6: Final answer
    x = 1,481,026.13

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.