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Finding the Third Proportional to 562,299 and 1,224,430.50

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Solution

The third proportional to 562,299 and 1,224,430.50 is: 2,666,250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,299 : 1,224,430.50 = 1,224,430.50 : x
  2. Step 2: Convert to fraction form
    562,299/1,224,430.50 = 1,224,430.50/x
  3. Step 3: Cross multiply
    562,299x = 1,224,430.50 × 1,224,430.50
  4. Step 4: Simplify right side
    562,299x = 1,499,230,049,330.25
  5. Step 5: Solve for x
    x = 1,499,230,049,330.25/562,299
  6. Step 6: Final answer
    x = 2,666,250.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.