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Finding the Third Proportional to 214,101 and 470,574

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Solution

The third proportional to 214,101 and 470,574 is: 1,034,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,101 : 470,574 = 470,574 : x
  2. Step 2: Convert to fraction form
    214,101/470,574 = 470,574/x
  3. Step 3: Cross multiply
    214,101x = 470,574 × 470,574
  4. Step 4: Simplify right side
    214,101x = 221,439,889,476
  5. Step 5: Solve for x
    x = 221,439,889,476/214,101
  6. Step 6: Final answer
    x = 1,034,277.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.