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Finding the Third Proportional to 579,729 and 866,929.50

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Solution

The third proportional to 579,729 and 866,929.50 is: 1,296,410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,729 : 866,929.50 = 866,929.50 : x
  2. Step 2: Convert to fraction form
    579,729/866,929.50 = 866,929.50/x
  3. Step 3: Cross multiply
    579,729x = 866,929.50 × 866,929.50
  4. Step 4: Simplify right side
    579,729x = 751,566,757,970.25
  5. Step 5: Solve for x
    x = 751,566,757,970.25/579,729
  6. Step 6: Final answer
    x = 1,296,410.49

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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.