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Finding the Third Proportional to 347,082,290 and 460,629,632

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Solution

The third proportional to 347,082,290 and 460,629,632 is: 611,323,781.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,082,290 : 460,629,632 = 460,629,632 : x
  2. Step 2: Convert to fraction form
    347,082,290/460,629,632 = 460,629,632/x
  3. Step 3: Cross multiply
    347,082,290x = 460,629,632 × 460,629,632
  4. Step 4: Simplify right side
    347,082,290x = 212,179,657,876,455,424
  5. Step 5: Solve for x
    x = 212,179,657,876,455,424/347,082,290
  6. Step 6: Final answer
    x = 611,323,781.10

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.