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Finding the Third Proportional to 325,772 and 707,248

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Solution

The third proportional to 325,772 and 707,248 is: 1,535,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,772 : 707,248 = 707,248 : x
  2. Step 2: Convert to fraction form
    325,772/707,248 = 707,248/x
  3. Step 3: Cross multiply
    325,772x = 707,248 × 707,248
  4. Step 4: Simplify right side
    325,772x = 500,199,733,504
  5. Step 5: Solve for x
    x = 500,199,733,504/325,772
  6. Step 6: Final answer
    x = 1,535,428.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.