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Finding the Third Proportional to 617,844 and 924,529.50

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Solution

The third proportional to 617,844 and 924,529.50 is: 1,383,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,844 : 924,529.50 = 924,529.50 : x
  2. Step 2: Convert to fraction form
    617,844/924,529.50 = 924,529.50/x
  3. Step 3: Cross multiply
    617,844x = 924,529.50 × 924,529.50
  4. Step 4: Simplify right side
    617,844x = 854,754,796,370.25
  5. Step 5: Solve for x
    x = 854,754,796,370.25/617,844
  6. Step 6: Final answer
    x = 1,383,447.60

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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.