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Finding the Third Proportional to 470,396 and 706,653

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Solution

The third proportional to 470,396 and 706,653 is: 1,061,570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,396 : 706,653 = 706,653 : x
  2. Step 2: Convert to fraction form
    470,396/706,653 = 706,653/x
  3. Step 3: Cross multiply
    470,396x = 706,653 × 706,653
  4. Step 4: Simplify right side
    470,396x = 499,358,462,409
  5. Step 5: Solve for x
    x = 499,358,462,409/470,396
  6. Step 6: Final answer
    x = 1,061,570.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.