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Finding the Third Proportional to 357,944 and 771,930

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Solution

The third proportional to 357,944 and 771,930 is: 1,664,718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,944 : 771,930 = 771,930 : x
  2. Step 2: Convert to fraction form
    357,944/771,930 = 771,930/x
  3. Step 3: Cross multiply
    357,944x = 771,930 × 771,930
  4. Step 4: Simplify right side
    357,944x = 595,875,924,900
  5. Step 5: Solve for x
    x = 595,875,924,900/357,944
  6. Step 6: Final answer
    x = 1,664,718.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.