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Finding the Third Proportional to 295,790 and 647,556

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Solution

The third proportional to 295,790 and 647,556 is: 1,417,657.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,790 : 647,556 = 647,556 : x
  2. Step 2: Convert to fraction form
    295,790/647,556 = 647,556/x
  3. Step 3: Cross multiply
    295,790x = 647,556 × 647,556
  4. Step 4: Simplify right side
    295,790x = 419,328,773,136
  5. Step 5: Solve for x
    x = 419,328,773,136/295,790
  6. Step 6: Final answer
    x = 1,417,657.03

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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.