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Finding the Third Proportional to 372,598 and 590,963

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Solution

The third proportional to 372,598 and 590,963 is: 937,303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,598 : 590,963 = 590,963 : x
  2. Step 2: Convert to fraction form
    372,598/590,963 = 590,963/x
  3. Step 3: Cross multiply
    372,598x = 590,963 × 590,963
  4. Step 4: Simplify right side
    372,598x = 349,237,267,369
  5. Step 5: Solve for x
    x = 349,237,267,369/372,598
  6. Step 6: Final answer
    x = 937,303.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.