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Finding the Third Proportional to 507,035 and 758,973

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Solution

The third proportional to 507,035 and 758,973 is: 1,136,095.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,035 : 758,973 = 758,973 : x
  2. Step 2: Convert to fraction form
    507,035/758,973 = 758,973/x
  3. Step 3: Cross multiply
    507,035x = 758,973 × 758,973
  4. Step 4: Simplify right side
    507,035x = 576,040,014,729
  5. Step 5: Solve for x
    x = 576,040,014,729/507,035
  6. Step 6: Final answer
    x = 1,136,095.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.