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Finding the Third Proportional to 355,448 and 750,856

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Solution

The third proportional to 355,448 and 750,856 is: 1,586,124.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,448 : 750,856 = 750,856 : x
  2. Step 2: Convert to fraction form
    355,448/750,856 = 750,856/x
  3. Step 3: Cross multiply
    355,448x = 750,856 × 750,856
  4. Step 4: Simplify right side
    355,448x = 563,784,732,736
  5. Step 5: Solve for x
    x = 563,784,732,736/355,448
  6. Step 6: Final answer
    x = 1,586,124.36

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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.