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Finding the Third Proportional to 294,460,200 and 637,994,439

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Solution

The third proportional to 294,460,200 and 637,994,439 is: 1,382,315,519.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,460,200 : 637,994,439 = 637,994,439 : x
  2. Step 2: Convert to fraction form
    294,460,200/637,994,439 = 637,994,439/x
  3. Step 3: Cross multiply
    294,460,200x = 637,994,439 × 637,994,439
  4. Step 4: Simplify right side
    294,460,200x = 407,036,904,194,924,736
  5. Step 5: Solve for x
    x = 407,036,904,194,924,736/294,460,200
  6. Step 6: Final answer
    x = 1,382,315,519.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.