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Finding the Third Proportional to 643,712.06 and 973,852.88

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Solution

The third proportional to 643,712.06 and 973,852.88 is: 1,473,313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,712.06 : 973,852.88 = 973,852.88 : x
  2. Step 2: Convert to fraction form
    643,712.06/973,852.88 = 973,852.88/x
  3. Step 3: Cross multiply
    643,712.06x = 973,852.88 × 973,852.88
  4. Step 4: Simplify right side
    643,712.06x = 948,389,422,145.77
  5. Step 5: Solve for x
    x = 948,389,422,145.77/643,712.06
  6. Step 6: Final answer
    x = 1,473,313.11

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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.