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Finding the Third Proportional to 246,738.38 and 538,096.50

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Solution

The third proportional to 246,738.38 and 538,096.50 is: 1,173,501.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,738.38 : 538,096.50 = 538,096.50 : x
  2. Step 2: Convert to fraction form
    246,738.38/538,096.50 = 538,096.50/x
  3. Step 3: Cross multiply
    246,738.38x = 538,096.50 × 538,096.50
  4. Step 4: Simplify right side
    246,738.38x = 289,547,843,312.25
  5. Step 5: Solve for x
    x = 289,547,843,312.25/246,738.38
  6. Step 6: Final answer
    x = 1,173,501.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.