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Finding the Third Proportional to 302,324 and 437,032

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Solution

The third proportional to 302,324 and 437,032 is: 631,762.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,324 : 437,032 = 437,032 : x
  2. Step 2: Convert to fraction form
    302,324/437,032 = 437,032/x
  3. Step 3: Cross multiply
    302,324x = 437,032 × 437,032
  4. Step 4: Simplify right side
    302,324x = 190,996,969,024
  5. Step 5: Solve for x
    x = 190,996,969,024/302,324
  6. Step 6: Final answer
    x = 631,762.51

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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.