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Finding the Third Proportional to 325,762 and 707,228

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Solution

The third proportional to 325,762 and 707,228 is: 1,535,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,762 : 707,228 = 707,228 : x
  2. Step 2: Convert to fraction form
    325,762/707,228 = 707,228/x
  3. Step 3: Cross multiply
    325,762x = 707,228 × 707,228
  4. Step 4: Simplify right side
    325,762x = 500,171,443,984
  5. Step 5: Solve for x
    x = 500,171,443,984/325,762
  6. Step 6: Final answer
    x = 1,535,389.16

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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.