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Finding the Third Proportional to 252,045 and 533,597.63

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Solution

The third proportional to 252,045 and 533,597.63 is: 1,129,665.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,045 : 533,597.63 = 533,597.63 : x
  2. Step 2: Convert to fraction form
    252,045/533,597.63 = 533,597.63/x
  3. Step 3: Cross multiply
    252,045x = 533,597.63 × 533,597.63
  4. Step 4: Simplify right side
    252,045x = 284,726,425,405.64
  5. Step 5: Solve for x
    x = 284,726,425,405.64/252,045
  6. Step 6: Final answer
    x = 1,129,665.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.