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Finding the Third Proportional to 562,909.50 and 829,475.44

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Solution

The third proportional to 562,909.50 and 829,475.44 is: 1,222,273.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,909.50 : 829,475.44 = 829,475.44 : x
  2. Step 2: Convert to fraction form
    562,909.50/829,475.44 = 829,475.44/x
  3. Step 3: Cross multiply
    562,909.50x = 829,475.44 × 829,475.44
  4. Step 4: Simplify right side
    562,909.50x = 688,029,501,415.82
  5. Step 5: Solve for x
    x = 688,029,501,415.82/562,909.50
  6. Step 6: Final answer
    x = 1,222,273.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.