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Finding the Third Proportional to 252,148 and 539,973

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Solution

The third proportional to 252,148 and 539,973 is: 1,156,348.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,148 : 539,973 = 539,973 : x
  2. Step 2: Convert to fraction form
    252,148/539,973 = 539,973/x
  3. Step 3: Cross multiply
    252,148x = 539,973 × 539,973
  4. Step 4: Simplify right side
    252,148x = 291,570,840,729
  5. Step 5: Solve for x
    x = 291,570,840,729/252,148
  6. Step 6: Final answer
    x = 1,156,348.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.