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Finding the Third Proportional to 292,504 and 632,984

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Solution

The third proportional to 292,504 and 632,984 is: 1,369,788.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,504 : 632,984 = 632,984 : x
  2. Step 2: Convert to fraction form
    292,504/632,984 = 632,984/x
  3. Step 3: Cross multiply
    292,504x = 632,984 × 632,984
  4. Step 4: Simplify right side
    292,504x = 400,668,744,256
  5. Step 5: Solve for x
    x = 400,668,744,256/292,504
  6. Step 6: Final answer
    x = 1,369,788.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.