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Finding the Third Proportional to 472,089 and 748,678.50

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Solution

The third proportional to 472,089 and 748,678.50 is: 1,187,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,089 : 748,678.50 = 748,678.50 : x
  2. Step 2: Convert to fraction form
    472,089/748,678.50 = 748,678.50/x
  3. Step 3: Cross multiply
    472,089x = 748,678.50 × 748,678.50
  4. Step 4: Simplify right side
    472,089x = 560,519,496,362.25
  5. Step 5: Solve for x
    x = 560,519,496,362.25/472,089
  6. Step 6: Final answer
    x = 1,187,317.43

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.