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Finding the Third Proportional to 552,068 and 782,888

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Solution

The third proportional to 552,068 and 782,888 is: 1,110,214.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,068 : 782,888 = 782,888 : x
  2. Step 2: Convert to fraction form
    552,068/782,888 = 782,888/x
  3. Step 3: Cross multiply
    552,068x = 782,888 × 782,888
  4. Step 4: Simplify right side
    552,068x = 612,913,620,544
  5. Step 5: Solve for x
    x = 612,913,620,544/552,068
  6. Step 6: Final answer
    x = 1,110,214.00

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.