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Finding the Third Proportional to 325,534 and 713,132

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Solution

The third proportional to 325,534 and 713,132 is: 1,562,224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,534 : 713,132 = 713,132 : x
  2. Step 2: Convert to fraction form
    325,534/713,132 = 713,132/x
  3. Step 3: Cross multiply
    325,534x = 713,132 × 713,132
  4. Step 4: Simplify right side
    325,534x = 508,557,249,424
  5. Step 5: Solve for x
    x = 508,557,249,424/325,534
  6. Step 6: Final answer
    x = 1,562,224.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.