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Finding the Third Proportional to 537,408 and 812,160

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Solution

The third proportional to 537,408 and 812,160 is: 1,227,380.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,408 : 812,160 = 812,160 : x
  2. Step 2: Convert to fraction form
    537,408/812,160 = 812,160/x
  3. Step 3: Cross multiply
    537,408x = 812,160 × 812,160
  4. Step 4: Simplify right side
    537,408x = 659,603,865,600
  5. Step 5: Solve for x
    x = 659,603,865,600/537,408
  6. Step 6: Final answer
    x = 1,227,380.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.