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Finding the Third Proportional to 770,250.50 and 1,563,828.50

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Solution

The third proportional to 770,250.50 and 1,563,828.50 is: 3,175,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,250.50 : 1,563,828.50 = 1,563,828.50 : x
  2. Step 2: Convert to fraction form
    770,250.50/1,563,828.50 = 1,563,828.50/x
  3. Step 3: Cross multiply
    770,250.50x = 1,563,828.50 × 1,563,828.50
  4. Step 4: Simplify right side
    770,250.50x = 2,445,559,577,412.25
  5. Step 5: Solve for x
    x = 2,445,559,577,412.25/770,250.50
  6. Step 6: Final answer
    x = 3,175,018.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.