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Finding the Third Proportional to 328,308.19 and 707,274.28

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Solution

The third proportional to 328,308.19 and 707,274.28 is: 1,523,680.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,308.19 : 707,274.28 = 707,274.28 : x
  2. Step 2: Convert to fraction form
    328,308.19/707,274.28 = 707,274.28/x
  3. Step 3: Cross multiply
    328,308.19x = 707,274.28 × 707,274.28
  4. Step 4: Simplify right side
    328,308.19x = 500,236,908,917.70
  5. Step 5: Solve for x
    x = 500,236,908,917.70/328,308.19
  6. Step 6: Final answer
    x = 1,523,680.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.