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Finding the Third Proportional to 575,235 and 1,254,291.75

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Solution

The third proportional to 575,235 and 1,254,291.75 is: 2,734,965.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,235 : 1,254,291.75 = 1,254,291.75 : x
  2. Step 2: Convert to fraction form
    575,235/1,254,291.75 = 1,254,291.75/x
  3. Step 3: Cross multiply
    575,235x = 1,254,291.75 × 1,254,291.75
  4. Step 4: Simplify right side
    575,235x = 1,573,247,794,118.06
  5. Step 5: Solve for x
    x = 1,573,247,794,118.06/575,235
  6. Step 6: Final answer
    x = 2,734,965.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.