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Finding the Third Proportional to 314,065 and 686,801

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Solution

The third proportional to 314,065 and 686,801 is: 1,501,904.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,065 : 686,801 = 686,801 : x
  2. Step 2: Convert to fraction form
    314,065/686,801 = 686,801/x
  3. Step 3: Cross multiply
    314,065x = 686,801 × 686,801
  4. Step 4: Simplify right side
    314,065x = 471,695,613,601
  5. Step 5: Solve for x
    x = 471,695,613,601/314,065
  6. Step 6: Final answer
    x = 1,501,904.43

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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.