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Finding the Third Proportional to 404,045.50 and 602,564.75

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Solution

The third proportional to 404,045.50 and 602,564.75 is: 898,622.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,045.50 : 602,564.75 = 602,564.75 : x
  2. Step 2: Convert to fraction form
    404,045.50/602,564.75 = 602,564.75/x
  3. Step 3: Cross multiply
    404,045.50x = 602,564.75 × 602,564.75
  4. Step 4: Simplify right side
    404,045.50x = 363,084,277,942.56
  5. Step 5: Solve for x
    x = 363,084,277,942.56/404,045.50
  6. Step 6: Final answer
    x = 898,622.25

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Why These Related Problems?

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