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Finding the Third Proportional to 356,130 and 725,446.50

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Solution

The third proportional to 356,130 and 725,446.50 is: 1,477,754.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,130 : 725,446.50 = 725,446.50 : x
  2. Step 2: Convert to fraction form
    356,130/725,446.50 = 725,446.50/x
  3. Step 3: Cross multiply
    356,130x = 725,446.50 × 725,446.50
  4. Step 4: Simplify right side
    356,130x = 526,272,624,362.25
  5. Step 5: Solve for x
    x = 526,272,624,362.25/356,130
  6. Step 6: Final answer
    x = 1,477,754.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.