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Finding the Third Proportional to 317,476.50 and 686,707.50

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Solution

The third proportional to 317,476.50 and 686,707.50 is: 1,485,360.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,476.50 : 686,707.50 = 686,707.50 : x
  2. Step 2: Convert to fraction form
    317,476.50/686,707.50 = 686,707.50/x
  3. Step 3: Cross multiply
    317,476.50x = 686,707.50 × 686,707.50
  4. Step 4: Simplify right side
    317,476.50x = 471,567,190,556.25
  5. Step 5: Solve for x
    x = 471,567,190,556.25/317,476.50
  6. Step 6: Final answer
    x = 1,485,360.93

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Why These Related Problems?

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