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Finding the Third Proportional to 609,241.50 and 946,440

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Solution

The third proportional to 609,241.50 and 946,440 is: 1,470,268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,241.50 : 946,440 = 946,440 : x
  2. Step 2: Convert to fraction form
    609,241.50/946,440 = 946,440/x
  3. Step 3: Cross multiply
    609,241.50x = 946,440 × 946,440
  4. Step 4: Simplify right side
    609,241.50x = 895,748,673,600
  5. Step 5: Solve for x
    x = 895,748,673,600/609,241.50
  6. Step 6: Final answer
    x = 1,470,268.64

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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.