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Finding the Third Proportional to 507,471 and 755,739

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Solution

The third proportional to 507,471 and 755,739 is: 1,125,466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,471 : 755,739 = 755,739 : x
  2. Step 2: Convert to fraction form
    507,471/755,739 = 755,739/x
  3. Step 3: Cross multiply
    507,471x = 755,739 × 755,739
  4. Step 4: Simplify right side
    507,471x = 571,141,436,121
  5. Step 5: Solve for x
    x = 571,141,436,121/507,471
  6. Step 6: Final answer
    x = 1,125,466.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.