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Finding the Third Proportional to 650,881.31 and 973,964.65

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Solution

The third proportional to 650,881.31 and 973,964.65 is: 1,457,419.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,881.31 : 973,964.65 = 973,964.65 : x
  2. Step 2: Convert to fraction form
    650,881.31/973,964.65 = 973,964.65/x
  3. Step 3: Cross multiply
    650,881.31x = 973,964.65 × 973,964.65
  4. Step 4: Simplify right side
    650,881.31x = 948,607,130,699.23
  5. Step 5: Solve for x
    x = 948,607,130,699.23/650,881.31
  6. Step 6: Final answer
    x = 1,457,419.52

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Why These Related Problems?

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