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Finding the Third Proportional to 369,488 and 560,064

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Solution

The third proportional to 369,488 and 560,064 is: 848,936.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,488 : 560,064 = 560,064 : x
  2. Step 2: Convert to fraction form
    369,488/560,064 = 560,064/x
  3. Step 3: Cross multiply
    369,488x = 560,064 × 560,064
  4. Step 4: Simplify right side
    369,488x = 313,671,684,096
  5. Step 5: Solve for x
    x = 313,671,684,096/369,488
  6. Step 6: Final answer
    x = 848,936.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.