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Finding the Third Proportional to 504,442 and 771,440

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Solution

The third proportional to 504,442 and 771,440 is: 1,179,758.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,442 : 771,440 = 771,440 : x
  2. Step 2: Convert to fraction form
    504,442/771,440 = 771,440/x
  3. Step 3: Cross multiply
    504,442x = 771,440 × 771,440
  4. Step 4: Simplify right side
    504,442x = 595,119,673,600
  5. Step 5: Solve for x
    x = 595,119,673,600/504,442
  6. Step 6: Final answer
    x = 1,179,758.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.