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Finding the Third Proportional to 375,088 and 535,992

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Solution

The third proportional to 375,088 and 535,992 is: 765,920.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,088 : 535,992 = 535,992 : x
  2. Step 2: Convert to fraction form
    375,088/535,992 = 535,992/x
  3. Step 3: Cross multiply
    375,088x = 535,992 × 535,992
  4. Step 4: Simplify right side
    375,088x = 287,287,424,064
  5. Step 5: Solve for x
    x = 287,287,424,064/375,088
  6. Step 6: Final answer
    x = 765,920.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.