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Finding the Third Proportional to 643,714.59 and 973,857.94

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Solution

The third proportional to 643,714.59 and 973,857.94 is: 1,473,322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,714.59 : 973,857.94 = 973,857.94 : x
  2. Step 2: Convert to fraction form
    643,714.59/973,857.94 = 973,857.94/x
  3. Step 3: Cross multiply
    643,714.59x = 973,857.94 × 973,857.94
  4. Step 4: Simplify right side
    643,714.59x = 948,399,282,431.75
  5. Step 5: Solve for x
    x = 948,399,282,431.75/643,714.59
  6. Step 6: Final answer
    x = 1,473,322.64

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Why These Related Problems?

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