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Finding the Third Proportional to 592,600 and 903,480

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Solution

The third proportional to 592,600 and 903,480 is: 1,377,448.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,600 : 903,480 = 903,480 : x
  2. Step 2: Convert to fraction form
    592,600/903,480 = 903,480/x
  3. Step 3: Cross multiply
    592,600x = 903,480 × 903,480
  4. Step 4: Simplify right side
    592,600x = 816,276,110,400
  5. Step 5: Solve for x
    x = 816,276,110,400/592,600
  6. Step 6: Final answer
    x = 1,377,448.72

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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.