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Finding the Third Proportional to 571,036.50 and 803,433.50

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Solution

The third proportional to 571,036.50 and 803,433.50 is: 1,130,410.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,036.50 : 803,433.50 = 803,433.50 : x
  2. Step 2: Convert to fraction form
    571,036.50/803,433.50 = 803,433.50/x
  3. Step 3: Cross multiply
    571,036.50x = 803,433.50 × 803,433.50
  4. Step 4: Simplify right side
    571,036.50x = 645,505,388,922.25
  5. Step 5: Solve for x
    x = 645,505,388,922.25/571,036.50
  6. Step 6: Final answer
    x = 1,130,410.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.