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Finding the Third Proportional to 368,569.13 and 788,371.50

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Solution

The third proportional to 368,569.13 and 788,371.50 is: 1,686,331.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,569.13 : 788,371.50 = 788,371.50 : x
  2. Step 2: Convert to fraction form
    368,569.13/788,371.50 = 788,371.50/x
  3. Step 3: Cross multiply
    368,569.13x = 788,371.50 × 788,371.50
  4. Step 4: Simplify right side
    368,569.13x = 621,529,622,012.25
  5. Step 5: Solve for x
    x = 621,529,622,012.25/368,569.13
  6. Step 6: Final answer
    x = 1,686,331.22

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Why These Related Problems?

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