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Finding the Third Proportional to 317,774 and 681,597

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Solution

The third proportional to 317,774 and 681,597 is: 1,461,965.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,774 : 681,597 = 681,597 : x
  2. Step 2: Convert to fraction form
    317,774/681,597 = 681,597/x
  3. Step 3: Cross multiply
    317,774x = 681,597 × 681,597
  4. Step 4: Simplify right side
    317,774x = 464,574,470,409
  5. Step 5: Solve for x
    x = 464,574,470,409/317,774
  6. Step 6: Final answer
    x = 1,461,965.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.