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Finding the Third Proportional to 405,532,467 and 832,563,231

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Solution

The third proportional to 405,532,467 and 832,563,231 is: 1,709,262,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,532,467 : 832,563,231 = 832,563,231 : x
  2. Step 2: Convert to fraction form
    405,532,467/832,563,231 = 832,563,231/x
  3. Step 3: Cross multiply
    405,532,467x = 832,563,231 × 832,563,231
  4. Step 4: Simplify right side
    405,532,467x = 693,161,533,613,159,424
  5. Step 5: Solve for x
    x = 693,161,533,613,159,424/405,532,467
  6. Step 6: Final answer
    x = 1,709,262,734.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.