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Finding the Third Proportional to 302,805 and 636,984

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Solution

The third proportional to 302,805 and 636,984 is: 1,339,966.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,805 : 636,984 = 636,984 : x
  2. Step 2: Convert to fraction form
    302,805/636,984 = 636,984/x
  3. Step 3: Cross multiply
    302,805x = 636,984 × 636,984
  4. Step 4: Simplify right side
    302,805x = 405,748,616,256
  5. Step 5: Solve for x
    x = 405,748,616,256/302,805
  6. Step 6: Final answer
    x = 1,339,966.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.