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Finding the Third Proportional to 476,725.50 and 758,828.25

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Solution

The third proportional to 476,725.50 and 758,828.25 is: 1,207,865.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,725.50 : 758,828.25 = 758,828.25 : x
  2. Step 2: Convert to fraction form
    476,725.50/758,828.25 = 758,828.25/x
  3. Step 3: Cross multiply
    476,725.50x = 758,828.25 × 758,828.25
  4. Step 4: Simplify right side
    476,725.50x = 575,820,312,998.06
  5. Step 5: Solve for x
    x = 575,820,312,998.06/476,725.50
  6. Step 6: Final answer
    x = 1,207,865.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.