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Finding the Third Proportional to 350,133.75 and 540,729

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Solution

The third proportional to 350,133.75 and 540,729 is: 835,074.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,133.75 : 540,729 = 540,729 : x
  2. Step 2: Convert to fraction form
    350,133.75/540,729 = 540,729/x
  3. Step 3: Cross multiply
    350,133.75x = 540,729 × 540,729
  4. Step 4: Simplify right side
    350,133.75x = 292,387,851,441
  5. Step 5: Solve for x
    x = 292,387,851,441/350,133.75
  6. Step 6: Final answer
    x = 835,074.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.