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Finding the Third Proportional to 255,116.25 and 558,569.25

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Solution

The third proportional to 255,116.25 and 558,569.25 is: 1,222,970.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,116.25 : 558,569.25 = 558,569.25 : x
  2. Step 2: Convert to fraction form
    255,116.25/558,569.25 = 558,569.25/x
  3. Step 3: Cross multiply
    255,116.25x = 558,569.25 × 558,569.25
  4. Step 4: Simplify right side
    255,116.25x = 311,999,607,045.56
  5. Step 5: Solve for x
    x = 311,999,607,045.56/255,116.25
  6. Step 6: Final answer
    x = 1,222,970.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.