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Finding the Third Proportional to 403,734 and 586,807

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Solution

The third proportional to 403,734 and 586,807 is: 852,894.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,734 : 586,807 = 586,807 : x
  2. Step 2: Convert to fraction form
    403,734/586,807 = 586,807/x
  3. Step 3: Cross multiply
    403,734x = 586,807 × 586,807
  4. Step 4: Simplify right side
    403,734x = 344,342,455,249
  5. Step 5: Solve for x
    x = 344,342,455,249/403,734
  6. Step 6: Final answer
    x = 852,894.37

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.