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Finding the Third Proportional to 352,030 and 747,692

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Solution

The third proportional to 352,030 and 747,692 is: 1,588,055.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,030 : 747,692 = 747,692 : x
  2. Step 2: Convert to fraction form
    352,030/747,692 = 747,692/x
  3. Step 3: Cross multiply
    352,030x = 747,692 × 747,692
  4. Step 4: Simplify right side
    352,030x = 559,043,326,864
  5. Step 5: Solve for x
    x = 559,043,326,864/352,030
  6. Step 6: Final answer
    x = 1,588,055.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.