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Finding the Third Proportional to 302,456 and 651,136

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Solution

The third proportional to 302,456 and 651,136 is: 1,401,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,456 : 651,136 = 651,136 : x
  2. Step 2: Convert to fraction form
    302,456/651,136 = 651,136/x
  3. Step 3: Cross multiply
    302,456x = 651,136 × 651,136
  4. Step 4: Simplify right side
    302,456x = 423,978,090,496
  5. Step 5: Solve for x
    x = 423,978,090,496/302,456
  6. Step 6: Final answer
    x = 1,401,784.36

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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.