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Finding the Third Proportional to 509,055.19 and 748,000.41

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Solution

The third proportional to 509,055.19 and 748,000.41 is: 1,099,104.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,055.19 : 748,000.41 = 748,000.41 : x
  2. Step 2: Convert to fraction form
    509,055.19/748,000.41 = 748,000.41/x
  3. Step 3: Cross multiply
    509,055.19x = 748,000.41 × 748,000.41
  4. Step 4: Simplify right side
    509,055.19x = 559,504,607,750.17
  5. Step 5: Solve for x
    x = 559,504,607,750.17/509,055.19
  6. Step 6: Final answer
    x = 1,099,104.03

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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.