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Finding the Third Proportional to 354,509 and 535,984.25

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Solution

The third proportional to 354,509 and 535,984.25 is: 810,357.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,509 : 535,984.25 = 535,984.25 : x
  2. Step 2: Convert to fraction form
    354,509/535,984.25 = 535,984.25/x
  3. Step 3: Cross multiply
    354,509x = 535,984.25 × 535,984.25
  4. Step 4: Simplify right side
    354,509x = 287,279,116,248.06
  5. Step 5: Solve for x
    x = 287,279,116,248.06/354,509
  6. Step 6: Final answer
    x = 810,357.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.