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Finding the Third Proportional to 368,579.25 and 805,347

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Solution

The third proportional to 368,579.25 and 805,347 is: 1,759,686.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,579.25 : 805,347 = 805,347 : x
  2. Step 2: Convert to fraction form
    368,579.25/805,347 = 805,347/x
  3. Step 3: Cross multiply
    368,579.25x = 805,347 × 805,347
  4. Step 4: Simplify right side
    368,579.25x = 648,583,790,409
  5. Step 5: Solve for x
    x = 648,583,790,409/368,579.25
  6. Step 6: Final answer
    x = 1,759,686.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.