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Finding the Third Proportional to 270,908,932 and 593,574,314

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Solution

The third proportional to 270,908,932 and 593,574,314 is: 1,300,549,463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,908,932 : 593,574,314 = 593,574,314 : x
  2. Step 2: Convert to fraction form
    270,908,932/593,574,314 = 593,574,314/x
  3. Step 3: Cross multiply
    270,908,932x = 593,574,314 × 593,574,314
  4. Step 4: Simplify right side
    270,908,932x = 352,330,466,240,570,624
  5. Step 5: Solve for x
    x = 352,330,466,240,570,624/270,908,932
  6. Step 6: Final answer
    x = 1,300,549,463.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.