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Finding the Third Proportional to 282,564 and 423,852

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Solution

The third proportional to 282,564 and 423,852 is: 635,787.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,564 : 423,852 = 423,852 : x
  2. Step 2: Convert to fraction form
    282,564/423,852 = 423,852/x
  3. Step 3: Cross multiply
    282,564x = 423,852 × 423,852
  4. Step 4: Simplify right side
    282,564x = 179,650,517,904
  5. Step 5: Solve for x
    x = 179,650,517,904/282,564
  6. Step 6: Final answer
    x = 635,787.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.