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Finding the Third Proportional to 355,452 and 750,864

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Solution

The third proportional to 355,452 and 750,864 is: 1,586,140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,452 : 750,864 = 750,864 : x
  2. Step 2: Convert to fraction form
    355,452/750,864 = 750,864/x
  3. Step 3: Cross multiply
    355,452x = 750,864 × 750,864
  4. Step 4: Simplify right side
    355,452x = 563,796,746,496
  5. Step 5: Solve for x
    x = 563,796,746,496/355,452
  6. Step 6: Final answer
    x = 1,586,140.31

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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.