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Finding the Third Proportional to 463,083 and 713,077

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Solution

The third proportional to 463,083 and 713,077 is: 1,098,029.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,083 : 713,077 = 713,077 : x
  2. Step 2: Convert to fraction form
    463,083/713,077 = 713,077/x
  3. Step 3: Cross multiply
    463,083x = 713,077 × 713,077
  4. Step 4: Simplify right side
    463,083x = 508,478,807,929
  5. Step 5: Solve for x
    x = 508,478,807,929/463,083
  6. Step 6: Final answer
    x = 1,098,029.53

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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.