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Finding the Third Proportional to 630,267 and 849,168

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Solution

The third proportional to 630,267 and 849,168 is: 1,144,096.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,267 : 849,168 = 849,168 : x
  2. Step 2: Convert to fraction form
    630,267/849,168 = 849,168/x
  3. Step 3: Cross multiply
    630,267x = 849,168 × 849,168
  4. Step 4: Simplify right side
    630,267x = 721,086,292,224
  5. Step 5: Solve for x
    x = 721,086,292,224/630,267
  6. Step 6: Final answer
    x = 1,144,096.54

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.