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Finding the Third Proportional to 503,025.75 and 761,042.25

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Solution

The third proportional to 503,025.75 and 761,042.25 is: 1,151,402.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,025.75 : 761,042.25 = 761,042.25 : x
  2. Step 2: Convert to fraction form
    503,025.75/761,042.25 = 761,042.25/x
  3. Step 3: Cross multiply
    503,025.75x = 761,042.25 × 761,042.25
  4. Step 4: Simplify right side
    503,025.75x = 579,185,306,285.06
  5. Step 5: Solve for x
    x = 579,185,306,285.06/503,025.75
  6. Step 6: Final answer
    x = 1,151,402.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.