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Finding the Third Proportional to 392,046 and 586,503

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Solution

The third proportional to 392,046 and 586,503 is: 877,411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,046 : 586,503 = 586,503 : x
  2. Step 2: Convert to fraction form
    392,046/586,503 = 586,503/x
  3. Step 3: Cross multiply
    392,046x = 586,503 × 586,503
  4. Step 4: Simplify right side
    392,046x = 343,985,769,009
  5. Step 5: Solve for x
    x = 343,985,769,009/392,046
  6. Step 6: Final answer
    x = 877,411.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.