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Finding the Third Proportional to 358,886 and 754,954

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Solution

The third proportional to 358,886 and 754,954 is: 1,588,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,886 : 754,954 = 754,954 : x
  2. Step 2: Convert to fraction form
    358,886/754,954 = 754,954/x
  3. Step 3: Cross multiply
    358,886x = 754,954 × 754,954
  4. Step 4: Simplify right side
    358,886x = 569,955,542,116
  5. Step 5: Solve for x
    x = 569,955,542,116/358,886
  6. Step 6: Final answer
    x = 1,588,124.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.