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Finding the Third Proportional to 273,988 and 429,914

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Solution

The third proportional to 273,988 and 429,914 is: 674,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,988 : 429,914 = 429,914 : x
  2. Step 2: Convert to fraction form
    273,988/429,914 = 429,914/x
  3. Step 3: Cross multiply
    273,988x = 429,914 × 429,914
  4. Step 4: Simplify right side
    273,988x = 184,826,047,396
  5. Step 5: Solve for x
    x = 184,826,047,396/273,988
  6. Step 6: Final answer
    x = 674,577.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.