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Finding the Third Proportional to 362,448 and 750,384

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Solution

The third proportional to 362,448 and 750,384 is: 1,553,536.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,448 : 750,384 = 750,384 : x
  2. Step 2: Convert to fraction form
    362,448/750,384 = 750,384/x
  3. Step 3: Cross multiply
    362,448x = 750,384 × 750,384
  4. Step 4: Simplify right side
    362,448x = 563,076,147,456
  5. Step 5: Solve for x
    x = 563,076,147,456/362,448
  6. Step 6: Final answer
    x = 1,553,536.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.