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Finding the Third Proportional to 364,101 and 792,112.50

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Solution

The third proportional to 364,101 and 792,112.50 is: 1,723,264.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,101 : 792,112.50 = 792,112.50 : x
  2. Step 2: Convert to fraction form
    364,101/792,112.50 = 792,112.50/x
  3. Step 3: Cross multiply
    364,101x = 792,112.50 × 792,112.50
  4. Step 4: Simplify right side
    364,101x = 627,442,212,656.25
  5. Step 5: Solve for x
    x = 627,442,212,656.25/364,101
  6. Step 6: Final answer
    x = 1,723,264.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.