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Finding the Third Proportional to 308,394 and 492,111

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Solution

The third proportional to 308,394 and 492,111 is: 785,272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,394 : 492,111 = 492,111 : x
  2. Step 2: Convert to fraction form
    308,394/492,111 = 492,111/x
  3. Step 3: Cross multiply
    308,394x = 492,111 × 492,111
  4. Step 4: Simplify right side
    308,394x = 242,173,236,321
  5. Step 5: Solve for x
    x = 242,173,236,321/308,394
  6. Step 6: Final answer
    x = 785,272.20

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.