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Finding the Third Proportional to 302,574.75 and 713,238.75

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Solution

The third proportional to 302,574.75 and 713,238.75 is: 1,681,268.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,574.75 : 713,238.75 = 713,238.75 : x
  2. Step 2: Convert to fraction form
    302,574.75/713,238.75 = 713,238.75/x
  3. Step 3: Cross multiply
    302,574.75x = 713,238.75 × 713,238.75
  4. Step 4: Simplify right side
    302,574.75x = 508,709,514,501.56
  5. Step 5: Solve for x
    x = 508,709,514,501.56/302,574.75
  6. Step 6: Final answer
    x = 1,681,268.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.