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Finding the Third Proportional to 480,775.50 and 1,028,254.50

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Solution

The third proportional to 480,775.50 and 1,028,254.50 is: 2,199,170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,775.50 : 1,028,254.50 = 1,028,254.50 : x
  2. Step 2: Convert to fraction form
    480,775.50/1,028,254.50 = 1,028,254.50/x
  3. Step 3: Cross multiply
    480,775.50x = 1,028,254.50 × 1,028,254.50
  4. Step 4: Simplify right side
    480,775.50x = 1,057,307,316,770.25
  5. Step 5: Solve for x
    x = 1,057,307,316,770.25/480,775.50
  6. Step 6: Final answer
    x = 2,199,170.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.