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Finding the Third Proportional to 507,865.50 and 803,504.25

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Solution

The third proportional to 507,865.50 and 803,504.25 is: 1,271,240.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,865.50 : 803,504.25 = 803,504.25 : x
  2. Step 2: Convert to fraction form
    507,865.50/803,504.25 = 803,504.25/x
  3. Step 3: Cross multiply
    507,865.50x = 803,504.25 × 803,504.25
  4. Step 4: Simplify right side
    507,865.50x = 645,619,079,768.06
  5. Step 5: Solve for x
    x = 645,619,079,768.06/507,865.50
  6. Step 6: Final answer
    x = 1,271,240.28

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.