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Finding the Third Proportional to 563,467.50 and 845,203.50

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Solution

The third proportional to 563,467.50 and 845,203.50 is: 1,267,808.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,467.50 : 845,203.50 = 845,203.50 : x
  2. Step 2: Convert to fraction form
    563,467.50/845,203.50 = 845,203.50/x
  3. Step 3: Cross multiply
    563,467.50x = 845,203.50 × 845,203.50
  4. Step 4: Simplify right side
    563,467.50x = 714,368,956,412.25
  5. Step 5: Solve for x
    x = 714,368,956,412.25/563,467.50
  6. Step 6: Final answer
    x = 1,267,808.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.