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Finding the Third Proportional to 355,454 and 750,868

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Solution

The third proportional to 355,454 and 750,868 is: 1,586,148.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,454 : 750,868 = 750,868 : x
  2. Step 2: Convert to fraction form
    355,454/750,868 = 750,868/x
  3. Step 3: Cross multiply
    355,454x = 750,868 × 750,868
  4. Step 4: Simplify right side
    355,454x = 563,802,753,424
  5. Step 5: Solve for x
    x = 563,802,753,424/355,454
  6. Step 6: Final answer
    x = 1,586,148.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.