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Finding the Third Proportional to 411,027 and 614,869.50

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Solution

The third proportional to 411,027 and 614,869.50 is: 919,804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,027 : 614,869.50 = 614,869.50 : x
  2. Step 2: Convert to fraction form
    411,027/614,869.50 = 614,869.50/x
  3. Step 3: Cross multiply
    411,027x = 614,869.50 × 614,869.50
  4. Step 4: Simplify right side
    411,027x = 378,064,502,030.25
  5. Step 5: Solve for x
    x = 378,064,502,030.25/411,027
  6. Step 6: Final answer
    x = 919,804.54

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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.