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Finding the Third Proportional to 354,913.31 and 754,111.69

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Solution

The third proportional to 354,913.31 and 754,111.69 is: 1,602,319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,913.31 : 754,111.69 = 754,111.69 : x
  2. Step 2: Convert to fraction form
    354,913.31/754,111.69 = 754,111.69/x
  3. Step 3: Cross multiply
    354,913.31x = 754,111.69 × 754,111.69
  4. Step 4: Simplify right side
    354,913.31x = 568,684,437,224.10
  5. Step 5: Solve for x
    x = 568,684,437,224.10/354,913.31
  6. Step 6: Final answer
    x = 1,602,319.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.