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Finding the Third Proportional to 705,328 and 1,056,351

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Solution

The third proportional to 705,328 and 1,056,351 is: 1,582,068.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,328 : 1,056,351 = 1,056,351 : x
  2. Step 2: Convert to fraction form
    705,328/1,056,351 = 1,056,351/x
  3. Step 3: Cross multiply
    705,328x = 1,056,351 × 1,056,351
  4. Step 4: Simplify right side
    705,328x = 1,115,877,435,201
  5. Step 5: Solve for x
    x = 1,115,877,435,201/705,328
  6. Step 6: Final answer
    x = 1,582,068.82

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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.