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Finding the Third Proportional to 481,400 and 745,032

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Solution

The third proportional to 481,400 and 745,032 is: 1,153,038.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,400 : 745,032 = 745,032 : x
  2. Step 2: Convert to fraction form
    481,400/745,032 = 745,032/x
  3. Step 3: Cross multiply
    481,400x = 745,032 × 745,032
  4. Step 4: Simplify right side
    481,400x = 555,072,681,024
  5. Step 5: Solve for x
    x = 555,072,681,024/481,400
  6. Step 6: Final answer
    x = 1,153,038.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.