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Finding the Third Proportional to 422,056 and 604,580

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Solution

The third proportional to 422,056 and 604,580 is: 866,039.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,056 : 604,580 = 604,580 : x
  2. Step 2: Convert to fraction form
    422,056/604,580 = 604,580/x
  3. Step 3: Cross multiply
    422,056x = 604,580 × 604,580
  4. Step 4: Simplify right side
    422,056x = 365,516,976,400
  5. Step 5: Solve for x
    x = 365,516,976,400/422,056
  6. Step 6: Final answer
    x = 866,039.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.