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Finding the Third Proportional to 604,584 and 903,717

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Solution

The third proportional to 604,584 and 903,717 is: 1,350,853.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,584 : 903,717 = 903,717 : x
  2. Step 2: Convert to fraction form
    604,584/903,717 = 903,717/x
  3. Step 3: Cross multiply
    604,584x = 903,717 × 903,717
  4. Step 4: Simplify right side
    604,584x = 816,704,416,089
  5. Step 5: Solve for x
    x = 816,704,416,089/604,584
  6. Step 6: Final answer
    x = 1,350,853.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.