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Finding the Third Proportional to 317,628 and 681,300

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Solution

The third proportional to 317,628 and 681,300 is: 1,461,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,628 : 681,300 = 681,300 : x
  2. Step 2: Convert to fraction form
    317,628/681,300 = 681,300/x
  3. Step 3: Cross multiply
    317,628x = 681,300 × 681,300
  4. Step 4: Simplify right side
    317,628x = 464,169,690,000
  5. Step 5: Solve for x
    x = 464,169,690,000/317,628
  6. Step 6: Final answer
    x = 1,461,362.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.