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Finding the Third Proportional to 432,531 and 949,263

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Solution

The third proportional to 432,531 and 949,263 is: 2,083,319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,531 : 949,263 = 949,263 : x
  2. Step 2: Convert to fraction form
    432,531/949,263 = 949,263/x
  3. Step 3: Cross multiply
    432,531x = 949,263 × 949,263
  4. Step 4: Simplify right side
    432,531x = 901,100,243,169
  5. Step 5: Solve for x
    x = 901,100,243,169/432,531
  6. Step 6: Final answer
    x = 2,083,319.45

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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.