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Finding the Third Proportional to 579,829 and 922,447.50

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Solution

The third proportional to 579,829 and 922,447.50 is: 1,467,517.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,829 : 922,447.50 = 922,447.50 : x
  2. Step 2: Convert to fraction form
    579,829/922,447.50 = 922,447.50/x
  3. Step 3: Cross multiply
    579,829x = 922,447.50 × 922,447.50
  4. Step 4: Simplify right side
    579,829x = 850,909,390,256.25
  5. Step 5: Solve for x
    x = 850,909,390,256.25/579,829
  6. Step 6: Final answer
    x = 1,467,517.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.