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Finding the Third Proportional to 404,038.13 and 602,553.94

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Solution

The third proportional to 404,038.13 and 602,553.94 is: 898,606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,038.13 : 602,553.94 = 602,553.94 : x
  2. Step 2: Convert to fraction form
    404,038.13/602,553.94 = 602,553.94/x
  3. Step 3: Cross multiply
    404,038.13x = 602,553.94 × 602,553.94
  4. Step 4: Simplify right side
    404,038.13x = 363,071,247,596.75
  5. Step 5: Solve for x
    x = 363,071,247,596.75/404,038.13
  6. Step 6: Final answer
    x = 898,606.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.