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Finding the Third Proportional to 508,230 and 677,548

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Solution

The third proportional to 508,230 and 677,548 is: 903,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,230 : 677,548 = 677,548 : x
  2. Step 2: Convert to fraction form
    508,230/677,548 = 677,548/x
  3. Step 3: Cross multiply
    508,230x = 677,548 × 677,548
  4. Step 4: Simplify right side
    508,230x = 459,071,292,304
  5. Step 5: Solve for x
    x = 459,071,292,304/508,230
  6. Step 6: Final answer
    x = 903,274.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.