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Finding the Third Proportional to 472,656 and 707,333.63

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Solution

The third proportional to 472,656 and 707,333.63 is: 1,058,530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,656 : 707,333.63 = 707,333.63 : x
  2. Step 2: Convert to fraction form
    472,656/707,333.63 = 707,333.63/x
  3. Step 3: Cross multiply
    472,656x = 707,333.63 × 707,333.63
  4. Step 4: Simplify right side
    472,656x = 500,320,857,055.64
  5. Step 5: Solve for x
    x = 500,320,857,055.64/472,656
  6. Step 6: Final answer
    x = 1,058,530.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.