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Finding the Third Proportional to 296,784 and 460,234.13

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Solution

The third proportional to 296,784 and 460,234.13 is: 713,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,784 : 460,234.13 = 460,234.13 : x
  2. Step 2: Convert to fraction form
    296,784/460,234.13 = 460,234.13/x
  3. Step 3: Cross multiply
    296,784x = 460,234.13 × 460,234.13
  4. Step 4: Simplify right side
    296,784x = 211,815,449,814.52
  5. Step 5: Solve for x
    x = 211,815,449,814.52/296,784
  6. Step 6: Final answer
    x = 713,702.39

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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.