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Finding the Third Proportional to 338,798.06 and 498,828.94

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Solution

The third proportional to 338,798.06 and 498,828.94 is: 734,450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,798.06 : 498,828.94 = 498,828.94 : x
  2. Step 2: Convert to fraction form
    338,798.06/498,828.94 = 498,828.94/x
  3. Step 3: Cross multiply
    338,798.06x = 498,828.94 × 498,828.94
  4. Step 4: Simplify right side
    338,798.06x = 248,830,308,887.38
  5. Step 5: Solve for x
    x = 248,830,308,887.38/338,798.06
  6. Step 6: Final answer
    x = 734,450.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.