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Finding the Third Proportional to 352,653 and 832,347

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Solution

The third proportional to 352,653 and 832,347 is: 1,964,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,653 : 832,347 = 832,347 : x
  2. Step 2: Convert to fraction form
    352,653/832,347 = 832,347/x
  3. Step 3: Cross multiply
    352,653x = 832,347 × 832,347
  4. Step 4: Simplify right side
    352,653x = 692,801,528,409
  5. Step 5: Solve for x
    x = 692,801,528,409/352,653
  6. Step 6: Final answer
    x = 1,964,541.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.