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Finding the Third Proportional to 350,139 and 540,736.50

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Solution

The third proportional to 350,139 and 540,736.50 is: 835,085.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,139 : 540,736.50 = 540,736.50 : x
  2. Step 2: Convert to fraction form
    350,139/540,736.50 = 540,736.50/x
  3. Step 3: Cross multiply
    350,139x = 540,736.50 × 540,736.50
  4. Step 4: Simplify right side
    350,139x = 292,395,962,432.25
  5. Step 5: Solve for x
    x = 292,395,962,432.25/350,139
  6. Step 6: Final answer
    x = 835,085.39

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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.