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Finding the Third Proportional to 299,052 and 657,396

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Solution

The third proportional to 299,052 and 657,396 is: 1,445,131.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,052 : 657,396 = 657,396 : x
  2. Step 2: Convert to fraction form
    299,052/657,396 = 657,396/x
  3. Step 3: Cross multiply
    299,052x = 657,396 × 657,396
  4. Step 4: Simplify right side
    299,052x = 432,169,500,816
  5. Step 5: Solve for x
    x = 432,169,500,816/299,052
  6. Step 6: Final answer
    x = 1,445,131.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.