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Finding the Third Proportional to 398,570 and 592,179

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Solution

The third proportional to 398,570 and 592,179 is: 879,835.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,570 : 592,179 = 592,179 : x
  2. Step 2: Convert to fraction form
    398,570/592,179 = 592,179/x
  3. Step 3: Cross multiply
    398,570x = 592,179 × 592,179
  4. Step 4: Simplify right side
    398,570x = 350,675,968,041
  5. Step 5: Solve for x
    x = 350,675,968,041/398,570
  6. Step 6: Final answer
    x = 879,835.33

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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.