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Finding the Third Proportional to 213,276.38 and 493,743.94

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Solution

The third proportional to 213,276.38 and 493,743.94 is: 1,143,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,276.38 : 493,743.94 = 493,743.94 : x
  2. Step 2: Convert to fraction form
    213,276.38/493,743.94 = 493,743.94/x
  3. Step 3: Cross multiply
    213,276.38x = 493,743.94 × 493,743.94
  4. Step 4: Simplify right side
    213,276.38x = 243,783,075,818.00
  5. Step 5: Solve for x
    x = 243,783,075,818.00/213,276.38
  6. Step 6: Final answer
    x = 1,143,038.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.