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Finding the Third Proportional to 316,134 and 684,732

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Solution

The third proportional to 316,134 and 684,732 is: 1,483,098.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,134 : 684,732 = 684,732 : x
  2. Step 2: Convert to fraction form
    316,134/684,732 = 684,732/x
  3. Step 3: Cross multiply
    316,134x = 684,732 × 684,732
  4. Step 4: Simplify right side
    316,134x = 468,857,911,824
  5. Step 5: Solve for x
    x = 468,857,911,824/316,134
  6. Step 6: Final answer
    x = 1,483,098.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.