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Finding the Third Proportional to 723,823.50 and 1,590,409.50

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Solution

The third proportional to 723,823.50 and 1,590,409.50 is: 3,494,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,823.50 : 1,590,409.50 = 1,590,409.50 : x
  2. Step 2: Convert to fraction form
    723,823.50/1,590,409.50 = 1,590,409.50/x
  3. Step 3: Cross multiply
    723,823.50x = 1,590,409.50 × 1,590,409.50
  4. Step 4: Simplify right side
    723,823.50x = 2,529,402,377,690.25
  5. Step 5: Solve for x
    x = 2,529,402,377,690.25/723,823.50
  6. Step 6: Final answer
    x = 3,494,501.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.