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Finding the Third Proportional to 592,588 and 903,462

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Solution

The third proportional to 592,588 and 903,462 is: 1,377,421.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,588 : 903,462 = 903,462 : x
  2. Step 2: Convert to fraction form
    592,588/903,462 = 903,462/x
  3. Step 3: Cross multiply
    592,588x = 903,462 × 903,462
  4. Step 4: Simplify right side
    592,588x = 816,243,585,444
  5. Step 5: Solve for x
    x = 816,243,585,444/592,588
  6. Step 6: Final answer
    x = 1,377,421.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.