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Finding the Third Proportional to 507,463 and 713,988

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Solution

The third proportional to 507,463 and 713,988 is: 1,004,563.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,463 : 713,988 = 713,988 : x
  2. Step 2: Convert to fraction form
    507,463/713,988 = 713,988/x
  3. Step 3: Cross multiply
    507,463x = 713,988 × 713,988
  4. Step 4: Simplify right side
    507,463x = 509,778,864,144
  5. Step 5: Solve for x
    x = 509,778,864,144/507,463
  6. Step 6: Final answer
    x = 1,004,563.61

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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.