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Finding the Third Proportional to 295,521 and 612,063

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Solution

The third proportional to 295,521 and 612,063 is: 1,267,663.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,521 : 612,063 = 612,063 : x
  2. Step 2: Convert to fraction form
    295,521/612,063 = 612,063/x
  3. Step 3: Cross multiply
    295,521x = 612,063 × 612,063
  4. Step 4: Simplify right side
    295,521x = 374,621,115,969
  5. Step 5: Solve for x
    x = 374,621,115,969/295,521
  6. Step 6: Final answer
    x = 1,267,663.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.