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Finding the Third Proportional to 468,072 and 705,410

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Solution

The third proportional to 468,072 and 705,410 is: 1,063,091.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,072 : 705,410 = 705,410 : x
  2. Step 2: Convert to fraction form
    468,072/705,410 = 705,410/x
  3. Step 3: Cross multiply
    468,072x = 705,410 × 705,410
  4. Step 4: Simplify right side
    468,072x = 497,603,268,100
  5. Step 5: Solve for x
    x = 497,603,268,100/468,072
  6. Step 6: Final answer
    x = 1,063,091.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.