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Finding the Third Proportional to 213,325.50 and 457,012.50

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Solution

The third proportional to 213,325.50 and 457,012.50 is: 979,069.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,325.50 : 457,012.50 = 457,012.50 : x
  2. Step 2: Convert to fraction form
    213,325.50/457,012.50 = 457,012.50/x
  3. Step 3: Cross multiply
    213,325.50x = 457,012.50 × 457,012.50
  4. Step 4: Simplify right side
    213,325.50x = 208,860,425,156.25
  5. Step 5: Solve for x
    x = 208,860,425,156.25/213,325.50
  6. Step 6: Final answer
    x = 979,069.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.