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Finding the Third Proportional to 571,458.16 and 778,352.73

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Solution

The third proportional to 571,458.16 and 778,352.73 is: 1,060,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,458.16 : 778,352.73 = 778,352.73 : x
  2. Step 2: Convert to fraction form
    571,458.16/778,352.73 = 778,352.73/x
  3. Step 3: Cross multiply
    571,458.16x = 778,352.73 × 778,352.73
  4. Step 4: Simplify right side
    571,458.16x = 605,832,973,028.16
  5. Step 5: Solve for x
    x = 605,832,973,028.16/571,458.16
  6. Step 6: Final answer
    x = 1,060,152.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.