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Finding the Third Proportional to 270,908,938 and 593,574,324

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Solution

The third proportional to 270,908,938 and 593,574,324 is: 1,300,549,478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,908,938 : 593,574,324 = 593,574,324 : x
  2. Step 2: Convert to fraction form
    270,908,938/593,574,324 = 593,574,324/x
  3. Step 3: Cross multiply
    270,908,938x = 593,574,324 × 593,574,324
  4. Step 4: Simplify right side
    270,908,938x = 352,330,478,112,056,960
  5. Step 5: Solve for x
    x = 352,330,478,112,056,960/270,908,938
  6. Step 6: Final answer
    x = 1,300,549,478.78

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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.