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Finding the Third Proportional to 304,742.25 and 464,848.88

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Solution

The third proportional to 304,742.25 and 464,848.88 is: 709,072.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,742.25 : 464,848.88 = 464,848.88 : x
  2. Step 2: Convert to fraction form
    304,742.25/464,848.88 = 464,848.88/x
  3. Step 3: Cross multiply
    304,742.25x = 464,848.88 × 464,848.88
  4. Step 4: Simplify right side
    304,742.25x = 216,084,476,588.77
  5. Step 5: Solve for x
    x = 216,084,476,588.77/304,742.25
  6. Step 6: Final answer
    x = 709,072.92

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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.