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Finding the Third Proportional to 582,601.50 and 904,142.25

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Solution

The third proportional to 582,601.50 and 904,142.25 is: 1,403,142.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,601.50 : 904,142.25 = 904,142.25 : x
  2. Step 2: Convert to fraction form
    582,601.50/904,142.25 = 904,142.25/x
  3. Step 3: Cross multiply
    582,601.50x = 904,142.25 × 904,142.25
  4. Step 4: Simplify right side
    582,601.50x = 817,473,208,235.06
  5. Step 5: Solve for x
    x = 817,473,208,235.06/582,601.50
  6. Step 6: Final answer
    x = 1,403,142.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.