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Finding the Third Proportional to 304,702 and 660,249.50

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Solution

The third proportional to 304,702 and 660,249.50 is: 1,430,674.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,702 : 660,249.50 = 660,249.50 : x
  2. Step 2: Convert to fraction form
    304,702/660,249.50 = 660,249.50/x
  3. Step 3: Cross multiply
    304,702x = 660,249.50 × 660,249.50
  4. Step 4: Simplify right side
    304,702x = 435,929,402,250.25
  5. Step 5: Solve for x
    x = 435,929,402,250.25/304,702
  6. Step 6: Final answer
    x = 1,430,674.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.