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Finding the Third Proportional to 487,744 and 732,912

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Solution

The third proportional to 487,744 and 732,912 is: 1,101,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,744 : 732,912 = 732,912 : x
  2. Step 2: Convert to fraction form
    487,744/732,912 = 732,912/x
  3. Step 3: Cross multiply
    487,744x = 732,912 × 732,912
  4. Step 4: Simplify right side
    487,744x = 537,159,999,744
  5. Step 5: Solve for x
    x = 537,159,999,744/487,744
  6. Step 6: Final answer
    x = 1,101,315.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.