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Finding the Third Proportional to 213,570 and 469,773

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Solution

The third proportional to 213,570 and 469,773 is: 1,033,322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,570 : 469,773 = 469,773 : x
  2. Step 2: Convert to fraction form
    213,570/469,773 = 469,773/x
  3. Step 3: Cross multiply
    213,570x = 469,773 × 469,773
  4. Step 4: Simplify right side
    213,570x = 220,686,671,529
  5. Step 5: Solve for x
    x = 220,686,671,529/213,570
  6. Step 6: Final answer
    x = 1,033,322.43

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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.