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Finding the Third Proportional to 470,746 and 696,974

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Solution

The third proportional to 470,746 and 696,974 is: 1,031,921.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,746 : 696,974 = 696,974 : x
  2. Step 2: Convert to fraction form
    470,746/696,974 = 696,974/x
  3. Step 3: Cross multiply
    470,746x = 696,974 × 696,974
  4. Step 4: Simplify right side
    470,746x = 485,772,756,676
  5. Step 5: Solve for x
    x = 485,772,756,676/470,746
  6. Step 6: Final answer
    x = 1,031,921.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.