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Finding the Third Proportional to 302,404 and 651,032

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Solution

The third proportional to 302,404 and 651,032 is: 1,401,577.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,404 : 651,032 = 651,032 : x
  2. Step 2: Convert to fraction form
    302,404/651,032 = 651,032/x
  3. Step 3: Cross multiply
    302,404x = 651,032 × 651,032
  4. Step 4: Simplify right side
    302,404x = 423,842,665,024
  5. Step 5: Solve for x
    x = 423,842,665,024/302,404
  6. Step 6: Final answer
    x = 1,401,577.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.