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Finding the Third Proportional to 470,700 and 718,366

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Solution

The third proportional to 470,700 and 718,366 is: 1,096,345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,700 : 718,366 = 718,366 : x
  2. Step 2: Convert to fraction form
    470,700/718,366 = 718,366/x
  3. Step 3: Cross multiply
    470,700x = 718,366 × 718,366
  4. Step 4: Simplify right side
    470,700x = 516,049,709,956
  5. Step 5: Solve for x
    x = 516,049,709,956/470,700
  6. Step 6: Final answer
    x = 1,096,345.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.