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Finding the Third Proportional to 556,292.25 and 755,673.75

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Solution

The third proportional to 556,292.25 and 755,673.75 is: 1,026,515.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,292.25 : 755,673.75 = 755,673.75 : x
  2. Step 2: Convert to fraction form
    556,292.25/755,673.75 = 755,673.75/x
  3. Step 3: Cross multiply
    556,292.25x = 755,673.75 × 755,673.75
  4. Step 4: Simplify right side
    556,292.25x = 571,042,816,439.06
  5. Step 5: Solve for x
    x = 571,042,816,439.06/556,292.25
  6. Step 6: Final answer
    x = 1,026,515.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.