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Finding the Third Proportional to 270,518,715 and 590,843,409

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Solution

The third proportional to 270,518,715 and 590,843,409 is: 1,290,468,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,518,715 : 590,843,409 = 590,843,409 : x
  2. Step 2: Convert to fraction form
    270,518,715/590,843,409 = 590,843,409/x
  3. Step 3: Cross multiply
    270,518,715x = 590,843,409 × 590,843,409
  4. Step 4: Simplify right side
    270,518,715x = 349,095,933,958,741,312
  5. Step 5: Solve for x
    x = 349,095,933,958,741,312/270,518,715
  6. Step 6: Final answer
    x = 1,290,468,698.10

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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.