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Finding the Third Proportional to 374,320 and 575,937

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Solution

The third proportional to 374,320 and 575,937 is: 886,149.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,320 : 575,937 = 575,937 : x
  2. Step 2: Convert to fraction form
    374,320/575,937 = 575,937/x
  3. Step 3: Cross multiply
    374,320x = 575,937 × 575,937
  4. Step 4: Simplify right side
    374,320x = 331,703,427,969
  5. Step 5: Solve for x
    x = 331,703,427,969/374,320
  6. Step 6: Final answer
    x = 886,149.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.