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Finding the Third Proportional to 504,608 and 759,020

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Solution

The third proportional to 504,608 and 759,020 is: 1,141,700.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,608 : 759,020 = 759,020 : x
  2. Step 2: Convert to fraction form
    504,608/759,020 = 759,020/x
  3. Step 3: Cross multiply
    504,608x = 759,020 × 759,020
  4. Step 4: Simplify right side
    504,608x = 576,111,360,400
  5. Step 5: Solve for x
    x = 576,111,360,400/504,608
  6. Step 6: Final answer
    x = 1,141,700.81

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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.