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Finding the Third Proportional to 270,278,210 and 590,098,531

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Solution

The third proportional to 270,278,210 and 590,098,531 is: 1,288,362,374.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,278,210 : 590,098,531 = 590,098,531 : x
  2. Step 2: Convert to fraction form
    270,278,210/590,098,531 = 590,098,531/x
  3. Step 3: Cross multiply
    270,278,210x = 590,098,531 × 590,098,531
  4. Step 4: Simplify right side
    270,278,210x = 348,216,276,288,357,952
  5. Step 5: Solve for x
    x = 348,216,276,288,357,952/270,278,210
  6. Step 6: Final answer
    x = 1,288,362,374.05

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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.