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Finding the Third Proportional to 295,370 and 647,926

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Solution

The third proportional to 295,370 and 647,926 is: 1,421,295.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,370 : 647,926 = 647,926 : x
  2. Step 2: Convert to fraction form
    295,370/647,926 = 647,926/x
  3. Step 3: Cross multiply
    295,370x = 647,926 × 647,926
  4. Step 4: Simplify right side
    295,370x = 419,808,101,476
  5. Step 5: Solve for x
    x = 419,808,101,476/295,370
  6. Step 6: Final answer
    x = 1,421,295.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.