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Finding the Third Proportional to 426,652.50 and 914,026.50

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Solution

The third proportional to 426,652.50 and 914,026.50 is: 1,958,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,652.50 : 914,026.50 = 914,026.50 : x
  2. Step 2: Convert to fraction form
    426,652.50/914,026.50 = 914,026.50/x
  3. Step 3: Cross multiply
    426,652.50x = 914,026.50 × 914,026.50
  4. Step 4: Simplify right side
    426,652.50x = 835,444,442,702.25
  5. Step 5: Solve for x
    x = 835,444,442,702.25/426,652.50
  6. Step 6: Final answer
    x = 1,958,137.93

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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.