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Finding the Third Proportional to 358,864 and 754,910

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Solution

The third proportional to 358,864 and 754,910 is: 1,588,036.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,864 : 754,910 = 754,910 : x
  2. Step 2: Convert to fraction form
    358,864/754,910 = 754,910/x
  3. Step 3: Cross multiply
    358,864x = 754,910 × 754,910
  4. Step 4: Simplify right side
    358,864x = 569,889,108,100
  5. Step 5: Solve for x
    x = 569,889,108,100/358,864
  6. Step 6: Final answer
    x = 1,588,036.44

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