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Finding the Third Proportional to 507,116 and 779,544

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Solution

The third proportional to 507,116 and 779,544 is: 1,198,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,116 : 779,544 = 779,544 : x
  2. Step 2: Convert to fraction form
    507,116/779,544 = 779,544/x
  3. Step 3: Cross multiply
    507,116x = 779,544 × 779,544
  4. Step 4: Simplify right side
    507,116x = 607,688,847,936
  5. Step 5: Solve for x
    x = 607,688,847,936/507,116
  6. Step 6: Final answer
    x = 1,198,323.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.