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Finding the Third Proportional to 403,717 and 586,783

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Solution

The third proportional to 403,717 and 586,783 is: 852,860.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,717 : 586,783 = 586,783 : x
  2. Step 2: Convert to fraction form
    403,717/586,783 = 586,783/x
  3. Step 3: Cross multiply
    403,717x = 586,783 × 586,783
  4. Step 4: Simplify right side
    403,717x = 344,314,289,089
  5. Step 5: Solve for x
    x = 344,314,289,089/403,717
  6. Step 6: Final answer
    x = 852,860.52

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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.