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Finding the Third Proportional to 347,082,284 and 460,629,624

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Solution

The third proportional to 347,082,284 and 460,629,624 is: 611,323,770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,082,284 : 460,629,624 = 460,629,624 : x
  2. Step 2: Convert to fraction form
    347,082,284/460,629,624 = 460,629,624/x
  3. Step 3: Cross multiply
    347,082,284x = 460,629,624 × 460,629,624
  4. Step 4: Simplify right side
    347,082,284x = 212,179,650,506,381,376
  5. Step 5: Solve for x
    x = 212,179,650,506,381,376/347,082,284
  6. Step 6: Final answer
    x = 611,323,770.44

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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.