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Finding the Third Proportional to 562,588.50 and 1,230,760.50

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Solution

The third proportional to 562,588.50 and 1,230,760.50 is: 2,692,503.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,588.50 : 1,230,760.50 = 1,230,760.50 : x
  2. Step 2: Convert to fraction form
    562,588.50/1,230,760.50 = 1,230,760.50/x
  3. Step 3: Cross multiply
    562,588.50x = 1,230,760.50 × 1,230,760.50
  4. Step 4: Simplify right side
    562,588.50x = 1,514,771,408,360.25
  5. Step 5: Solve for x
    x = 1,514,771,408,360.25/562,588.50
  6. Step 6: Final answer
    x = 2,692,503.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.