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Finding the Third Proportional to 460,265 and 952,483

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Solution

The third proportional to 460,265 and 952,483 is: 1,971,090.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,265 : 952,483 = 952,483 : x
  2. Step 2: Convert to fraction form
    460,265/952,483 = 952,483/x
  3. Step 3: Cross multiply
    460,265x = 952,483 × 952,483
  4. Step 4: Simplify right side
    460,265x = 907,223,865,289
  5. Step 5: Solve for x
    x = 907,223,865,289/460,265
  6. Step 6: Final answer
    x = 1,971,090.27

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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.