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Finding the Third Proportional to 529,094 and 798,411

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Solution

The third proportional to 529,094 and 798,411 is: 1,204,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,094 : 798,411 = 798,411 : x
  2. Step 2: Convert to fraction form
    529,094/798,411 = 798,411/x
  3. Step 3: Cross multiply
    529,094x = 798,411 × 798,411
  4. Step 4: Simplify right side
    529,094x = 637,460,124,921
  5. Step 5: Solve for x
    x = 637,460,124,921/529,094
  6. Step 6: Final answer
    x = 1,204,814.50

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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.