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Finding the Third Proportional to 470,370 and 706,614

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Solution

The third proportional to 470,370 and 706,614 is: 1,061,511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,370 : 706,614 = 706,614 : x
  2. Step 2: Convert to fraction form
    470,370/706,614 = 706,614/x
  3. Step 3: Cross multiply
    470,370x = 706,614 × 706,614
  4. Step 4: Simplify right side
    470,370x = 499,303,344,996
  5. Step 5: Solve for x
    x = 499,303,344,996/470,370
  6. Step 6: Final answer
    x = 1,061,511.88

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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.