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Finding the Third Proportional to 579,762.50 and 902,770.50

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Solution

The third proportional to 579,762.50 and 902,770.50 is: 1,405,738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,762.50 : 902,770.50 = 902,770.50 : x
  2. Step 2: Convert to fraction form
    579,762.50/902,770.50 = 902,770.50/x
  3. Step 3: Cross multiply
    579,762.50x = 902,770.50 × 902,770.50
  4. Step 4: Simplify right side
    579,762.50x = 814,994,575,670.25
  5. Step 5: Solve for x
    x = 814,994,575,670.25/579,762.50
  6. Step 6: Final answer
    x = 1,405,738.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.