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Finding the Third Proportional to 430,856 and 920,360

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Solution

The third proportional to 430,856 and 920,360 is: 1,965,999.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,856 : 920,360 = 920,360 : x
  2. Step 2: Convert to fraction form
    430,856/920,360 = 920,360/x
  3. Step 3: Cross multiply
    430,856x = 920,360 × 920,360
  4. Step 4: Simplify right side
    430,856x = 847,062,529,600
  5. Step 5: Solve for x
    x = 847,062,529,600/430,856
  6. Step 6: Final answer
    x = 1,965,999.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.