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Finding the Third Proportional to 338,792.63 and 495,441

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Solution

The third proportional to 338,792.63 and 495,441 is: 724,519.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,792.63 : 495,441 = 495,441 : x
  2. Step 2: Convert to fraction form
    338,792.63/495,441 = 495,441/x
  3. Step 3: Cross multiply
    338,792.63x = 495,441 × 495,441
  4. Step 4: Simplify right side
    338,792.63x = 245,461,784,481
  5. Step 5: Solve for x
    x = 245,461,784,481/338,792.63
  6. Step 6: Final answer
    x = 724,519.27

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.