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Finding the Third Proportional to 191,444 and 392,440

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Solution

The third proportional to 191,444 and 392,440 is: 804,460.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,444 : 392,440 = 392,440 : x
  2. Step 2: Convert to fraction form
    191,444/392,440 = 392,440/x
  3. Step 3: Cross multiply
    191,444x = 392,440 × 392,440
  4. Step 4: Simplify right side
    191,444x = 154,009,153,600
  5. Step 5: Solve for x
    x = 154,009,153,600/191,444
  6. Step 6: Final answer
    x = 804,460.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.