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Finding the Third Proportional to 558,825.75 and 885,259.13

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Solution

The third proportional to 558,825.75 and 885,259.13 is: 1,402,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,825.75 : 885,259.13 = 885,259.13 : x
  2. Step 2: Convert to fraction form
    558,825.75/885,259.13 = 885,259.13/x
  3. Step 3: Cross multiply
    558,825.75x = 885,259.13 × 885,259.13
  4. Step 4: Simplify right side
    558,825.75x = 783,683,718,395.77
  5. Step 5: Solve for x
    x = 783,683,718,395.77/558,825.75
  6. Step 6: Final answer
    x = 1,402,375.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.