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Finding the Third Proportional to 405,532,459 and 832,563,217

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Solution

The third proportional to 405,532,459 and 832,563,217 is: 1,709,262,711.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,532,459 : 832,563,217 = 832,563,217 : x
  2. Step 2: Convert to fraction form
    405,532,459/832,563,217 = 832,563,217/x
  3. Step 3: Cross multiply
    405,532,459x = 832,563,217 × 832,563,217
  4. Step 4: Simplify right side
    405,532,459x = 693,161,510,301,389,056
  5. Step 5: Solve for x
    x = 693,161,510,301,389,056/405,532,459
  6. Step 6: Final answer
    x = 1,709,262,711.08

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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.