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Finding the Third Proportional to 562,752 and 1,232,232.75

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Solution

The third proportional to 562,752 and 1,232,232.75 is: 2,698,164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,752 : 1,232,232.75 = 1,232,232.75 : x
  2. Step 2: Convert to fraction form
    562,752/1,232,232.75 = 1,232,232.75/x
  3. Step 3: Cross multiply
    562,752x = 1,232,232.75 × 1,232,232.75
  4. Step 4: Simplify right side
    562,752x = 1,518,397,550,172.56
  5. Step 5: Solve for x
    x = 1,518,397,550,172.56/562,752
  6. Step 6: Final answer
    x = 2,698,164.64

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