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Finding the Third Proportional to 277,437,172 and 603,714,454

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Solution

The third proportional to 277,437,172 and 603,714,454 is: 1,313,706,953.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,437,172 : 603,714,454 = 603,714,454 : x
  2. Step 2: Convert to fraction form
    277,437,172/603,714,454 = 603,714,454/x
  3. Step 3: Cross multiply
    277,437,172x = 603,714,454 × 603,714,454
  4. Step 4: Simplify right side
    277,437,172x = 364,471,141,968,518,144
  5. Step 5: Solve for x
    x = 364,471,141,968,518,144/277,437,172
  6. Step 6: Final answer
    x = 1,313,706,953.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.