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Finding the Third Proportional to 316,092 and 688,992

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Solution

The third proportional to 316,092 and 688,992 is: 1,501,809.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,092 : 688,992 = 688,992 : x
  2. Step 2: Convert to fraction form
    316,092/688,992 = 688,992/x
  3. Step 3: Cross multiply
    316,092x = 688,992 × 688,992
  4. Step 4: Simplify right side
    316,092x = 474,709,976,064
  5. Step 5: Solve for x
    x = 474,709,976,064/316,092
  6. Step 6: Final answer
    x = 1,501,809.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.