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Finding the Third Proportional to 317,237 and 686,746

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Solution

The third proportional to 317,237 and 686,746 is: 1,486,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,237 : 686,746 = 686,746 : x
  2. Step 2: Convert to fraction form
    317,237/686,746 = 686,746/x
  3. Step 3: Cross multiply
    317,237x = 686,746 × 686,746
  4. Step 4: Simplify right side
    317,237x = 471,620,068,516
  5. Step 5: Solve for x
    x = 471,620,068,516/317,237
  6. Step 6: Final answer
    x = 1,486,649.00

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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.