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Finding the Third Proportional to 341,760.75 and 549,091.50

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Solution

The third proportional to 341,760.75 and 549,091.50 is: 882,200.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,760.75 : 549,091.50 = 549,091.50 : x
  2. Step 2: Convert to fraction form
    341,760.75/549,091.50 = 549,091.50/x
  3. Step 3: Cross multiply
    341,760.75x = 549,091.50 × 549,091.50
  4. Step 4: Simplify right side
    341,760.75x = 301,501,475,372.25
  5. Step 5: Solve for x
    x = 301,501,475,372.25/341,760.75
  6. Step 6: Final answer
    x = 882,200.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.