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Finding the Third Proportional to 578,632.50 and 1,252,397.25

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Solution

The third proportional to 578,632.50 and 1,252,397.25 is: 2,710,699.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,632.50 : 1,252,397.25 = 1,252,397.25 : x
  2. Step 2: Convert to fraction form
    578,632.50/1,252,397.25 = 1,252,397.25/x
  3. Step 3: Cross multiply
    578,632.50x = 1,252,397.25 × 1,252,397.25
  4. Step 4: Simplify right side
    578,632.50x = 1,568,498,871,807.56
  5. Step 5: Solve for x
    x = 1,568,498,871,807.56/578,632.50
  6. Step 6: Final answer
    x = 2,710,699.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.