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Finding the Third Proportional to 262,303.50 and 416,724

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Solution

The third proportional to 262,303.50 and 416,724 is: 662,053.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,303.50 : 416,724 = 416,724 : x
  2. Step 2: Convert to fraction form
    262,303.50/416,724 = 416,724/x
  3. Step 3: Cross multiply
    262,303.50x = 416,724 × 416,724
  4. Step 4: Simplify right side
    262,303.50x = 173,658,892,176
  5. Step 5: Solve for x
    x = 173,658,892,176/262,303.50
  6. Step 6: Final answer
    x = 662,053.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.