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Finding the Third Proportional to 274,032 and 429,979.50

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Solution

The third proportional to 274,032 and 429,979.50 is: 674,674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,032 : 429,979.50 = 429,979.50 : x
  2. Step 2: Convert to fraction form
    274,032/429,979.50 = 429,979.50/x
  3. Step 3: Cross multiply
    274,032x = 429,979.50 × 429,979.50
  4. Step 4: Simplify right side
    274,032x = 184,882,370,420.25
  5. Step 5: Solve for x
    x = 184,882,370,420.25/274,032
  6. Step 6: Final answer
    x = 674,674.38

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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.