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Finding the Third Proportional to 516,094 and 781,920

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Solution

The third proportional to 516,094 and 781,920 is: 1,184,665.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,094 : 781,920 = 781,920 : x
  2. Step 2: Convert to fraction form
    516,094/781,920 = 781,920/x
  3. Step 3: Cross multiply
    516,094x = 781,920 × 781,920
  4. Step 4: Simplify right side
    516,094x = 611,398,886,400
  5. Step 5: Solve for x
    x = 611,398,886,400/516,094
  6. Step 6: Final answer
    x = 1,184,665.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.