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Finding the Third Proportional to 507,752 and 713,244

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Solution

The third proportional to 507,752 and 713,244 is: 1,001,900.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,752 : 713,244 = 713,244 : x
  2. Step 2: Convert to fraction form
    507,752/713,244 = 713,244/x
  3. Step 3: Cross multiply
    507,752x = 713,244 × 713,244
  4. Step 4: Simplify right side
    507,752x = 508,717,003,536
  5. Step 5: Solve for x
    x = 508,717,003,536/507,752
  6. Step 6: Final answer
    x = 1,001,900.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.