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Finding the Third Proportional to 352,655 and 832,348

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Solution

The third proportional to 352,655 and 832,348 is: 1,964,535.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,655 : 832,348 = 832,348 : x
  2. Step 2: Convert to fraction form
    352,655/832,348 = 832,348/x
  3. Step 3: Cross multiply
    352,655x = 832,348 × 832,348
  4. Step 4: Simplify right side
    352,655x = 692,803,193,104
  5. Step 5: Solve for x
    x = 692,803,193,104/352,655
  6. Step 6: Final answer
    x = 1,964,535.29

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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.