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Finding the Third Proportional to 583,256 and 1,276,240

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Solution

The third proportional to 583,256 and 1,276,240 is: 2,792,579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,256 : 1,276,240 = 1,276,240 : x
  2. Step 2: Convert to fraction form
    583,256/1,276,240 = 1,276,240/x
  3. Step 3: Cross multiply
    583,256x = 1,276,240 × 1,276,240
  4. Step 4: Simplify right side
    583,256x = 1,628,788,537,600
  5. Step 5: Solve for x
    x = 1,628,788,537,600/583,256
  6. Step 6: Final answer
    x = 2,792,579.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.