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Finding the Third Proportional to 549,625.50 and 872,400.38

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Solution

The third proportional to 549,625.50 and 872,400.38 is: 1,384,729.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,625.50 : 872,400.38 = 872,400.38 : x
  2. Step 2: Convert to fraction form
    549,625.50/872,400.38 = 872,400.38/x
  3. Step 3: Cross multiply
    549,625.50x = 872,400.38 × 872,400.38
  4. Step 4: Simplify right side
    549,625.50x = 761,082,414,300.14
  5. Step 5: Solve for x
    x = 761,082,414,300.14/549,625.50
  6. Step 6: Final answer
    x = 1,384,729.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.