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Finding the Third Proportional to 536,769 and 834,961.50

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Solution

The third proportional to 536,769 and 834,961.50 is: 1,298,809.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,769 : 834,961.50 = 834,961.50 : x
  2. Step 2: Convert to fraction form
    536,769/834,961.50 = 834,961.50/x
  3. Step 3: Cross multiply
    536,769x = 834,961.50 × 834,961.50
  4. Step 4: Simplify right side
    536,769x = 697,160,706,482.25
  5. Step 5: Solve for x
    x = 697,160,706,482.25/536,769
  6. Step 6: Final answer
    x = 1,298,809.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.