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Finding the Third Proportional to 549,240 and 1,187,311.50

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Solution

The third proportional to 549,240 and 1,187,311.50 is: 2,566,653.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,240 : 1,187,311.50 = 1,187,311.50 : x
  2. Step 2: Convert to fraction form
    549,240/1,187,311.50 = 1,187,311.50/x
  3. Step 3: Cross multiply
    549,240x = 1,187,311.50 × 1,187,311.50
  4. Step 4: Simplify right side
    549,240x = 1,409,708,598,032.25
  5. Step 5: Solve for x
    x = 1,409,708,598,032.25/549,240
  6. Step 6: Final answer
    x = 2,566,653.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.