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Finding the Third Proportional to 472,676.63 and 714,643.03

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Solution

The third proportional to 472,676.63 and 714,643.03 is: 1,080,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,676.63 : 714,643.03 = 714,643.03 : x
  2. Step 2: Convert to fraction form
    472,676.63/714,643.03 = 714,643.03/x
  3. Step 3: Cross multiply
    472,676.63x = 714,643.03 × 714,643.03
  4. Step 4: Simplify right side
    472,676.63x = 510,714,662,114.19
  5. Step 5: Solve for x
    x = 510,714,662,114.19/472,676.63
  6. Step 6: Final answer
    x = 1,080,473.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.