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Finding the Third Proportional to 549,382.50 and 1,140,868.13

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Solution

The third proportional to 549,382.50 and 1,140,868.13 is: 2,369,169.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,382.50 : 1,140,868.13 = 1,140,868.13 : x
  2. Step 2: Convert to fraction form
    549,382.50/1,140,868.13 = 1,140,868.13/x
  3. Step 3: Cross multiply
    549,382.50x = 1,140,868.13 × 1,140,868.13
  4. Step 4: Simplify right side
    549,382.50x = 1,301,580,078,641.02
  5. Step 5: Solve for x
    x = 1,301,580,078,641.02/549,382.50
  6. Step 6: Final answer
    x = 2,369,169.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.