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Finding the Third Proportional to 315,964.13 and 484,504.88

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Solution

The third proportional to 315,964.13 and 484,504.88 is: 742,948.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,964.13 : 484,504.88 = 484,504.88 : x
  2. Step 2: Convert to fraction form
    315,964.13/484,504.88 = 484,504.88/x
  3. Step 3: Cross multiply
    315,964.13x = 484,504.88 × 484,504.88
  4. Step 4: Simplify right side
    315,964.13x = 234,744,973,898.77
  5. Step 5: Solve for x
    x = 234,744,973,898.77/315,964.13
  6. Step 6: Final answer
    x = 742,948.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.