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Finding the Third Proportional to 470,219 and 704,235

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Solution

The third proportional to 470,219 and 704,235 is: 1,054,714.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,219 : 704,235 = 704,235 : x
  2. Step 2: Convert to fraction form
    470,219/704,235 = 704,235/x
  3. Step 3: Cross multiply
    470,219x = 704,235 × 704,235
  4. Step 4: Simplify right side
    470,219x = 495,946,935,225
  5. Step 5: Solve for x
    x = 495,946,935,225/470,219
  6. Step 6: Final answer
    x = 1,054,714.79

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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.