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Finding the Third Proportional to 317,348 and 686,940

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Solution

The third proportional to 317,348 and 686,940 is: 1,486,968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,348 : 686,940 = 686,940 : x
  2. Step 2: Convert to fraction form
    317,348/686,940 = 686,940/x
  3. Step 3: Cross multiply
    317,348x = 686,940 × 686,940
  4. Step 4: Simplify right side
    317,348x = 471,886,563,600
  5. Step 5: Solve for x
    x = 471,886,563,600/317,348
  6. Step 6: Final answer
    x = 1,486,968.76

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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.