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Finding the Third Proportional to 355,809 and 541,045.50

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Solution

The third proportional to 355,809 and 541,045.50 is: 822,717.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,809 : 541,045.50 = 541,045.50 : x
  2. Step 2: Convert to fraction form
    355,809/541,045.50 = 541,045.50/x
  3. Step 3: Cross multiply
    355,809x = 541,045.50 × 541,045.50
  4. Step 4: Simplify right side
    355,809x = 292,730,233,070.25
  5. Step 5: Solve for x
    x = 292,730,233,070.25/355,809
  6. Step 6: Final answer
    x = 822,717.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.