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Finding the Third Proportional to 529,692.75 and 784,237.50

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Solution

The third proportional to 529,692.75 and 784,237.50 is: 1,161,104.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,692.75 : 784,237.50 = 784,237.50 : x
  2. Step 2: Convert to fraction form
    529,692.75/784,237.50 = 784,237.50/x
  3. Step 3: Cross multiply
    529,692.75x = 784,237.50 × 784,237.50
  4. Step 4: Simplify right side
    529,692.75x = 615,028,456,406.25
  5. Step 5: Solve for x
    x = 615,028,456,406.25/529,692.75
  6. Step 6: Final answer
    x = 1,161,104.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.