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Finding the Third Proportional to 223,914 and 473,106

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Solution

The third proportional to 223,914 and 473,106 is: 999,621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,914 : 473,106 = 473,106 : x
  2. Step 2: Convert to fraction form
    223,914/473,106 = 473,106/x
  3. Step 3: Cross multiply
    223,914x = 473,106 × 473,106
  4. Step 4: Simplify right side
    223,914x = 223,829,287,236
  5. Step 5: Solve for x
    x = 223,829,287,236/223,914
  6. Step 6: Final answer
    x = 999,621.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.