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Finding the Third Proportional to 535,094 and 783,442

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Solution

The third proportional to 535,094 and 783,442 is: 1,147,053.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,094 : 783,442 = 783,442 : x
  2. Step 2: Convert to fraction form
    535,094/783,442 = 783,442/x
  3. Step 3: Cross multiply
    535,094x = 783,442 × 783,442
  4. Step 4: Simplify right side
    535,094x = 613,781,367,364
  5. Step 5: Solve for x
    x = 613,781,367,364/535,094
  6. Step 6: Final answer
    x = 1,147,053.35

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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.