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Finding the Third Proportional to 509,058.56 and 748,005.38

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Solution

The third proportional to 509,058.56 and 748,005.38 is: 1,099,111.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,058.56 : 748,005.38 = 748,005.38 : x
  2. Step 2: Convert to fraction form
    509,058.56/748,005.38 = 748,005.38/x
  3. Step 3: Cross multiply
    509,058.56x = 748,005.38 × 748,005.38
  4. Step 4: Simplify right side
    509,058.56x = 559,512,041,028.89
  5. Step 5: Solve for x
    x = 559,512,041,028.89/509,058.56
  6. Step 6: Final answer
    x = 1,099,111.34

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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.