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Finding the Third Proportional to 246,330 and 538,384.50

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Solution

The third proportional to 246,330 and 538,384.50 is: 1,176,705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,330 : 538,384.50 = 538,384.50 : x
  2. Step 2: Convert to fraction form
    246,330/538,384.50 = 538,384.50/x
  3. Step 3: Cross multiply
    246,330x = 538,384.50 × 538,384.50
  4. Step 4: Simplify right side
    246,330x = 289,857,869,840.25
  5. Step 5: Solve for x
    x = 289,857,869,840.25/246,330
  6. Step 6: Final answer
    x = 1,176,705.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.