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Finding the Third Proportional to 507,462 and 713,986

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Solution

The third proportional to 507,462 and 713,986 is: 1,004,559.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,462 : 713,986 = 713,986 : x
  2. Step 2: Convert to fraction form
    507,462/713,986 = 713,986/x
  3. Step 3: Cross multiply
    507,462x = 713,986 × 713,986
  4. Step 4: Simplify right side
    507,462x = 509,776,008,196
  5. Step 5: Solve for x
    x = 509,776,008,196/507,462
  6. Step 6: Final answer
    x = 1,004,559.96

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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.