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Finding the Third Proportional to 713,400.75 and 1,682,361

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Solution

The third proportional to 713,400.75 and 1,682,361 is: 3,967,389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,400.75 : 1,682,361 = 1,682,361 : x
  2. Step 2: Convert to fraction form
    713,400.75/1,682,361 = 1,682,361/x
  3. Step 3: Cross multiply
    713,400.75x = 1,682,361 × 1,682,361
  4. Step 4: Simplify right side
    713,400.75x = 2,830,338,534,321
  5. Step 5: Solve for x
    x = 2,830,338,534,321/713,400.75
  6. Step 6: Final answer
    x = 3,967,389.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.