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Finding the Third Proportional to 404,044.88 and 602,564.06

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Solution

The third proportional to 404,044.88 and 602,564.06 is: 898,621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,044.88 : 602,564.06 = 602,564.06 : x
  2. Step 2: Convert to fraction form
    404,044.88/602,564.06 = 602,564.06/x
  3. Step 3: Cross multiply
    404,044.88x = 602,564.06 × 602,564.06
  4. Step 4: Simplify right side
    404,044.88x = 363,083,449,416.50
  5. Step 5: Solve for x
    x = 363,083,449,416.50/404,044.88
  6. Step 6: Final answer
    x = 898,621.59

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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.