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Finding the Third Proportional to 569,875.50 and 1,216,021.50

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Solution

The third proportional to 569,875.50 and 1,216,021.50 is: 2,594,791.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,875.50 : 1,216,021.50 = 1,216,021.50 : x
  2. Step 2: Convert to fraction form
    569,875.50/1,216,021.50 = 1,216,021.50/x
  3. Step 3: Cross multiply
    569,875.50x = 1,216,021.50 × 1,216,021.50
  4. Step 4: Simplify right side
    569,875.50x = 1,478,708,288,462.25
  5. Step 5: Solve for x
    x = 1,478,708,288,462.25/569,875.50
  6. Step 6: Final answer
    x = 2,594,791.82

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.