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Finding the Third Proportional to 214,319.25 and 460,897.50

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Solution

The third proportional to 214,319.25 and 460,897.50 is: 991,168.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,319.25 : 460,897.50 = 460,897.50 : x
  2. Step 2: Convert to fraction form
    214,319.25/460,897.50 = 460,897.50/x
  3. Step 3: Cross multiply
    214,319.25x = 460,897.50 × 460,897.50
  4. Step 4: Simplify right side
    214,319.25x = 212,426,505,506.25
  5. Step 5: Solve for x
    x = 212,426,505,506.25/214,319.25
  6. Step 6: Final answer
    x = 991,168.57

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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.