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Finding the Third Proportional to 592,560 and 903,423

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Solution

The third proportional to 592,560 and 903,423 is: 1,377,367.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,560 : 903,423 = 903,423 : x
  2. Step 2: Convert to fraction form
    592,560/903,423 = 903,423/x
  3. Step 3: Cross multiply
    592,560x = 903,423 × 903,423
  4. Step 4: Simplify right side
    592,560x = 816,173,116,929
  5. Step 5: Solve for x
    x = 816,173,116,929/592,560
  6. Step 6: Final answer
    x = 1,377,367.89

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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.