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Finding the Third Proportional to 374,408 and 775,312

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Solution

The third proportional to 374,408 and 775,312 is: 1,605,491.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,408 : 775,312 = 775,312 : x
  2. Step 2: Convert to fraction form
    374,408/775,312 = 775,312/x
  3. Step 3: Cross multiply
    374,408x = 775,312 × 775,312
  4. Step 4: Simplify right side
    374,408x = 601,108,697,344
  5. Step 5: Solve for x
    x = 601,108,697,344/374,408
  6. Step 6: Final answer
    x = 1,605,491.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.