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Finding the Third Proportional to 623,874 and 1,277,305.50

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Solution

The third proportional to 623,874 and 1,277,305.50 is: 2,615,126.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,874 : 1,277,305.50 = 1,277,305.50 : x
  2. Step 2: Convert to fraction form
    623,874/1,277,305.50 = 1,277,305.50/x
  3. Step 3: Cross multiply
    623,874x = 1,277,305.50 × 1,277,305.50
  4. Step 4: Simplify right side
    623,874x = 1,631,509,340,330.25
  5. Step 5: Solve for x
    x = 1,631,509,340,330.25/623,874
  6. Step 6: Final answer
    x = 2,615,126.36

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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.