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Finding the Third Proportional to 431,247,263 and 704,113,433

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Solution

The third proportional to 431,247,263 and 704,113,433 is: 1,149,632,169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,247,263 : 704,113,433 = 704,113,433 : x
  2. Step 2: Convert to fraction form
    431,247,263/704,113,433 = 704,113,433/x
  3. Step 3: Cross multiply
    431,247,263x = 704,113,433 × 704,113,433
  4. Step 4: Simplify right side
    431,247,263x = 495,775,726,531,045,504
  5. Step 5: Solve for x
    x = 495,775,726,531,045,504/431,247,263
  6. Step 6: Final answer
    x = 1,149,632,169.45

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.