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Finding the Third Proportional to 590,469 and 832,073

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Solution

The third proportional to 590,469 and 832,073 is: 1,172,534.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,469 : 832,073 = 832,073 : x
  2. Step 2: Convert to fraction form
    590,469/832,073 = 832,073/x
  3. Step 3: Cross multiply
    590,469x = 832,073 × 832,073
  4. Step 4: Simplify right side
    590,469x = 692,345,477,329
  5. Step 5: Solve for x
    x = 692,345,477,329/590,469
  6. Step 6: Final answer
    x = 1,172,534.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.