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Finding the Third Proportional to 507,553 and 714,116

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Solution

The third proportional to 507,553 and 714,116 is: 1,004,745.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,553 : 714,116 = 714,116 : x
  2. Step 2: Convert to fraction form
    507,553/714,116 = 714,116/x
  3. Step 3: Cross multiply
    507,553x = 714,116 × 714,116
  4. Step 4: Simplify right side
    507,553x = 509,961,661,456
  5. Step 5: Solve for x
    x = 509,961,661,456/507,553
  6. Step 6: Final answer
    x = 1,004,745.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.