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Finding the Third Proportional to 535,094 and 804,585

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Solution

The third proportional to 535,094 and 804,585 is: 1,209,800.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,094 : 804,585 = 804,585 : x
  2. Step 2: Convert to fraction form
    535,094/804,585 = 804,585/x
  3. Step 3: Cross multiply
    535,094x = 804,585 × 804,585
  4. Step 4: Simplify right side
    535,094x = 647,357,022,225
  5. Step 5: Solve for x
    x = 647,357,022,225/535,094
  6. Step 6: Final answer
    x = 1,209,800.56

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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.