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Finding the Third Proportional to 277,519.50 and 606,403.13

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Solution

The third proportional to 277,519.50 and 606,403.13 is: 1,325,041.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,519.50 : 606,403.13 = 606,403.13 : x
  2. Step 2: Convert to fraction form
    277,519.50/606,403.13 = 606,403.13/x
  3. Step 3: Cross multiply
    277,519.50x = 606,403.13 × 606,403.13
  4. Step 4: Simplify right side
    277,519.50x = 367,724,750,009.77
  5. Step 5: Solve for x
    x = 367,724,750,009.77/277,519.50
  6. Step 6: Final answer
    x = 1,325,041.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.