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Finding the Third Proportional to 362,842,314 and 560,303,907

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Solution

The third proportional to 362,842,314 and 560,303,907 is: 865,225,625.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,842,314 : 560,303,907 = 560,303,907 : x
  2. Step 2: Convert to fraction form
    362,842,314/560,303,907 = 560,303,907/x
  3. Step 3: Cross multiply
    362,842,314x = 560,303,907 × 560,303,907
  4. Step 4: Simplify right side
    362,842,314x = 313,940,468,199,464,640
  5. Step 5: Solve for x
    x = 313,940,468,199,464,640/362,842,314
  6. Step 6: Final answer
    x = 865,225,625.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.