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Finding the Third Proportional to 344,883 and 532,090.50

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Solution

The third proportional to 344,883 and 532,090.50 is: 820,916.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,883 : 532,090.50 = 532,090.50 : x
  2. Step 2: Convert to fraction form
    344,883/532,090.50 = 532,090.50/x
  3. Step 3: Cross multiply
    344,883x = 532,090.50 × 532,090.50
  4. Step 4: Simplify right side
    344,883x = 283,120,300,190.25
  5. Step 5: Solve for x
    x = 283,120,300,190.25/344,883
  6. Step 6: Final answer
    x = 820,916.95

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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.