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Finding the Third Proportional to 236,746.50 and 570,543

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Solution

The third proportional to 236,746.50 and 570,543 is: 1,374,969.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,746.50 : 570,543 = 570,543 : x
  2. Step 2: Convert to fraction form
    236,746.50/570,543 = 570,543/x
  3. Step 3: Cross multiply
    236,746.50x = 570,543 × 570,543
  4. Step 4: Simplify right side
    236,746.50x = 325,519,314,849
  5. Step 5: Solve for x
    x = 325,519,314,849/236,746.50
  6. Step 6: Final answer
    x = 1,374,969.91

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.