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Finding the Third Proportional to 535,095.75 and 783,447

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Solution

The third proportional to 535,095.75 and 783,447 is: 1,147,064.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,095.75 : 783,447 = 783,447 : x
  2. Step 2: Convert to fraction form
    535,095.75/783,447 = 783,447/x
  3. Step 3: Cross multiply
    535,095.75x = 783,447 × 783,447
  4. Step 4: Simplify right side
    535,095.75x = 613,789,201,809
  5. Step 5: Solve for x
    x = 613,789,201,809/535,095.75
  6. Step 6: Final answer
    x = 1,147,064.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.