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Finding the Third Proportional to 219,300.14 and 472,507.33

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Solution

The third proportional to 219,300.14 and 472,507.33 is: 1,018,071.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,300.14 : 472,507.33 = 472,507.33 : x
  2. Step 2: Convert to fraction form
    219,300.14/472,507.33 = 472,507.33/x
  3. Step 3: Cross multiply
    219,300.14x = 472,507.33 × 472,507.33
  4. Step 4: Simplify right side
    219,300.14x = 223,263,176,977.55
  5. Step 5: Solve for x
    x = 223,263,176,977.55/219,300.14
  6. Step 6: Final answer
    x = 1,018,071.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.