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Finding the Third Proportional to 317,232 and 686,736

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Solution

The third proportional to 317,232 and 686,736 is: 1,486,629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,232 : 686,736 = 686,736 : x
  2. Step 2: Convert to fraction form
    317,232/686,736 = 686,736/x
  3. Step 3: Cross multiply
    317,232x = 686,736 × 686,736
  4. Step 4: Simplify right side
    317,232x = 471,606,333,696
  5. Step 5: Solve for x
    x = 471,606,333,696/317,232
  6. Step 6: Final answer
    x = 1,486,629.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.