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Finding the Third Proportional to 341,811 and 549,166.50

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Solution

The third proportional to 341,811 and 549,166.50 is: 882,311.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,811 : 549,166.50 = 549,166.50 : x
  2. Step 2: Convert to fraction form
    341,811/549,166.50 = 549,166.50/x
  3. Step 3: Cross multiply
    341,811x = 549,166.50 × 549,166.50
  4. Step 4: Simplify right side
    341,811x = 301,583,844,722.25
  5. Step 5: Solve for x
    x = 301,583,844,722.25/341,811
  6. Step 6: Final answer
    x = 882,311.70

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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.