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Finding the Third Proportional to 295,596 and 612,210

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Solution

The third proportional to 295,596 and 612,210 is: 1,267,950.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,596 : 612,210 = 612,210 : x
  2. Step 2: Convert to fraction form
    295,596/612,210 = 612,210/x
  3. Step 3: Cross multiply
    295,596x = 612,210 × 612,210
  4. Step 4: Simplify right side
    295,596x = 374,801,084,100
  5. Step 5: Solve for x
    x = 374,801,084,100/295,596
  6. Step 6: Final answer
    x = 1,267,950.46

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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.