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Finding the Third Proportional to 559,271.25 and 838,967.63

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Solution

The third proportional to 559,271.25 and 838,967.63 is: 1,258,542.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,271.25 : 838,967.63 = 838,967.63 : x
  2. Step 2: Convert to fraction form
    559,271.25/838,967.63 = 838,967.63/x
  3. Step 3: Cross multiply
    559,271.25x = 838,967.63 × 838,967.63
  4. Step 4: Simplify right side
    559,271.25x = 703,866,675,798.14
  5. Step 5: Solve for x
    x = 703,866,675,798.14/559,271.25
  6. Step 6: Final answer
    x = 1,258,542.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.