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Finding the Third Proportional to 352,655 and 832,352

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Solution

The third proportional to 352,655 and 832,352 is: 1,964,554.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,655 : 832,352 = 832,352 : x
  2. Step 2: Convert to fraction form
    352,655/832,352 = 832,352/x
  3. Step 3: Cross multiply
    352,655x = 832,352 × 832,352
  4. Step 4: Simplify right side
    352,655x = 692,809,851,904
  5. Step 5: Solve for x
    x = 692,809,851,904/352,655
  6. Step 6: Final answer
    x = 1,964,554.17

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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.