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Finding the Third Proportional to 325,674 and 707,045.63

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Solution

The third proportional to 325,674 and 707,045.63 is: 1,535,012.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,674 : 707,045.63 = 707,045.63 : x
  2. Step 2: Convert to fraction form
    325,674/707,045.63 = 707,045.63/x
  3. Step 3: Cross multiply
    325,674x = 707,045.63 × 707,045.63
  4. Step 4: Simplify right side
    325,674x = 499,913,515,831.64
  5. Step 5: Solve for x
    x = 499,913,515,831.64/325,674
  6. Step 6: Final answer
    x = 1,535,012.05

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