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Finding the Third Proportional to 325,521 and 713,106

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Solution

The third proportional to 325,521 and 713,106 is: 1,562,173.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,521 : 713,106 = 713,106 : x
  2. Step 2: Convert to fraction form
    325,521/713,106 = 713,106/x
  3. Step 3: Cross multiply
    325,521x = 713,106 × 713,106
  4. Step 4: Simplify right side
    325,521x = 508,520,167,236
  5. Step 5: Solve for x
    x = 508,520,167,236/325,521
  6. Step 6: Final answer
    x = 1,562,173.15

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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.