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Finding the Third Proportional to 296,688.63 and 459,692.63

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Solution

The third proportional to 296,688.63 and 459,692.63 is: 712,252.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,688.63 : 459,692.63 = 459,692.63 : x
  2. Step 2: Convert to fraction form
    296,688.63/459,692.63 = 459,692.63/x
  3. Step 3: Cross multiply
    296,688.63x = 459,692.63 × 459,692.63
  4. Step 4: Simplify right side
    296,688.63x = 211,317,309,479.39
  5. Step 5: Solve for x
    x = 211,317,309,479.39/296,688.63
  6. Step 6: Final answer
    x = 712,252.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.