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Finding the Third Proportional to 436,402 and 677,304

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Solution

The third proportional to 436,402 and 677,304 is: 1,051,188.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,402 : 677,304 = 677,304 : x
  2. Step 2: Convert to fraction form
    436,402/677,304 = 677,304/x
  3. Step 3: Cross multiply
    436,402x = 677,304 × 677,304
  4. Step 4: Simplify right side
    436,402x = 458,740,708,416
  5. Step 5: Solve for x
    x = 458,740,708,416/436,402
  6. Step 6: Final answer
    x = 1,051,188.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.