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Finding the Third Proportional to 308,418 and 460,068.50

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Solution

The third proportional to 308,418 and 460,068.50 is: 686,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,418 : 460,068.50 = 460,068.50 : x
  2. Step 2: Convert to fraction form
    308,418/460,068.50 = 460,068.50/x
  3. Step 3: Cross multiply
    308,418x = 460,068.50 × 460,068.50
  4. Step 4: Simplify right side
    308,418x = 211,663,024,692.25
  5. Step 5: Solve for x
    x = 211,663,024,692.25/308,418
  6. Step 6: Final answer
    x = 686,286.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.