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Finding the Third Proportional to 302,322.75 and 437,031

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Solution

The third proportional to 302,322.75 and 437,031 is: 631,762.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,322.75 : 437,031 = 437,031 : x
  2. Step 2: Convert to fraction form
    302,322.75/437,031 = 437,031/x
  3. Step 3: Cross multiply
    302,322.75x = 437,031 × 437,031
  4. Step 4: Simplify right side
    302,322.75x = 190,996,094,961
  5. Step 5: Solve for x
    x = 190,996,094,961/302,322.75
  6. Step 6: Final answer
    x = 631,762.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.