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Finding the Third Proportional to 714,776.75 and 1,467,603.50

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Solution

The third proportional to 714,776.75 and 1,467,603.50 is: 3,013,332.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,776.75 : 1,467,603.50 = 1,467,603.50 : x
  2. Step 2: Convert to fraction form
    714,776.75/1,467,603.50 = 1,467,603.50/x
  3. Step 3: Cross multiply
    714,776.75x = 1,467,603.50 × 1,467,603.50
  4. Step 4: Simplify right side
    714,776.75x = 2,153,860,033,212.25
  5. Step 5: Solve for x
    x = 2,153,860,033,212.25/714,776.75
  6. Step 6: Final answer
    x = 3,013,332.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.