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Finding the Third Proportional to 354,915 and 754,114.88

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Solution

The third proportional to 354,915 and 754,114.88 is: 1,602,325.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,915 : 754,114.88 = 754,114.88 : x
  2. Step 2: Convert to fraction form
    354,915/754,114.88 = 754,114.88/x
  3. Step 3: Cross multiply
    354,915x = 754,114.88 × 754,114.88
  4. Step 4: Simplify right side
    354,915x = 568,689,244,696.27
  5. Step 5: Solve for x
    x = 568,689,244,696.27/354,915
  6. Step 6: Final answer
    x = 1,602,325.19

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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.