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Finding the Third Proportional to 511,744,176 and 748,423,608

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Solution

The third proportional to 511,744,176 and 748,423,608 is: 1,094,566,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,744,176 : 748,423,608 = 748,423,608 : x
  2. Step 2: Convert to fraction form
    511,744,176/748,423,608 = 748,423,608/x
  3. Step 3: Cross multiply
    511,744,176x = 748,423,608 × 748,423,608
  4. Step 4: Simplify right side
    511,744,176x = 560,137,897,011,737,664
  5. Step 5: Solve for x
    x = 560,137,897,011,737,664/511,744,176
  6. Step 6: Final answer
    x = 1,094,566,236.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.