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Finding the Third Proportional to 398,440 and 592,012

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Solution

The third proportional to 398,440 and 592,012 is: 879,626.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,440 : 592,012 = 592,012 : x
  2. Step 2: Convert to fraction form
    398,440/592,012 = 592,012/x
  3. Step 3: Cross multiply
    398,440x = 592,012 × 592,012
  4. Step 4: Simplify right side
    398,440x = 350,478,208,144
  5. Step 5: Solve for x
    x = 350,478,208,144/398,440
  6. Step 6: Final answer
    x = 879,626.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.