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Finding the Third Proportional to 470,374 and 706,622

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Solution

The third proportional to 470,374 and 706,622 is: 1,061,526.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,374 : 706,622 = 706,622 : x
  2. Step 2: Convert to fraction form
    470,374/706,622 = 706,622/x
  3. Step 3: Cross multiply
    470,374x = 706,622 × 706,622
  4. Step 4: Simplify right side
    470,374x = 499,314,650,884
  5. Step 5: Solve for x
    x = 499,314,650,884/470,374
  6. Step 6: Final answer
    x = 1,061,526.89

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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.