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Finding the Third Proportional to 579,827 and 922,444.50

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Solution

The third proportional to 579,827 and 922,444.50 is: 1,467,513.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,827 : 922,444.50 = 922,444.50 : x
  2. Step 2: Convert to fraction form
    579,827/922,444.50 = 922,444.50/x
  3. Step 3: Cross multiply
    579,827x = 922,444.50 × 922,444.50
  4. Step 4: Simplify right side
    579,827x = 850,903,855,580.25
  5. Step 5: Solve for x
    x = 850,903,855,580.25/579,827
  6. Step 6: Final answer
    x = 1,467,513.34

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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.