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Finding the Third Proportional to 355,030 and 772,752

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Solution

The third proportional to 355,030 and 772,752 is: 1,681,958.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,030 : 772,752 = 772,752 : x
  2. Step 2: Convert to fraction form
    355,030/772,752 = 772,752/x
  3. Step 3: Cross multiply
    355,030x = 772,752 × 772,752
  4. Step 4: Simplify right side
    355,030x = 597,145,653,504
  5. Step 5: Solve for x
    x = 597,145,653,504/355,030
  6. Step 6: Final answer
    x = 1,681,958.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.