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Finding the Third Proportional to 432,544 and 949,292

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Solution

The third proportional to 432,544 and 949,292 is: 2,083,384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,544 : 949,292 = 949,292 : x
  2. Step 2: Convert to fraction form
    432,544/949,292 = 949,292/x
  3. Step 3: Cross multiply
    432,544x = 949,292 × 949,292
  4. Step 4: Simplify right side
    432,544x = 901,155,301,264
  5. Step 5: Solve for x
    x = 901,155,301,264/432,544
  6. Step 6: Final answer
    x = 2,083,384.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.