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Finding the Third Proportional to 312,004 and 687,752

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Solution

The third proportional to 312,004 and 687,752 is: 1,516,015.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,004 : 687,752 = 687,752 : x
  2. Step 2: Convert to fraction form
    312,004/687,752 = 687,752/x
  3. Step 3: Cross multiply
    312,004x = 687,752 × 687,752
  4. Step 4: Simplify right side
    312,004x = 473,002,813,504
  5. Step 5: Solve for x
    x = 473,002,813,504/312,004
  6. Step 6: Final answer
    x = 1,516,015.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.