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Finding the Third Proportional to 315,859 and 690,768

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Solution

The third proportional to 315,859 and 690,768 is: 1,510,675.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,859 : 690,768 = 690,768 : x
  2. Step 2: Convert to fraction form
    315,859/690,768 = 690,768/x
  3. Step 3: Cross multiply
    315,859x = 690,768 × 690,768
  4. Step 4: Simplify right side
    315,859x = 477,160,429,824
  5. Step 5: Solve for x
    x = 477,160,429,824/315,859
  6. Step 6: Final answer
    x = 1,510,675.43

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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.