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Finding the Third Proportional to 386,592.75 and 568,303.59

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Solution

The third proportional to 386,592.75 and 568,303.59 is: 835,424.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,592.75 : 568,303.59 = 568,303.59 : x
  2. Step 2: Convert to fraction form
    386,592.75/568,303.59 = 568,303.59/x
  3. Step 3: Cross multiply
    386,592.75x = 568,303.59 × 568,303.59
  4. Step 4: Simplify right side
    386,592.75x = 322,968,974,669.17
  5. Step 5: Solve for x
    x = 322,968,974,669.17/386,592.75
  6. Step 6: Final answer
    x = 835,424.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.