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Finding the Third Proportional to 595,410.75 and 778,708.69

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Solution

The third proportional to 595,410.75 and 778,708.69 is: 1,018,435.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,410.75 : 778,708.69 = 778,708.69 : x
  2. Step 2: Convert to fraction form
    595,410.75/778,708.69 = 778,708.69/x
  3. Step 3: Cross multiply
    595,410.75x = 778,708.69 × 778,708.69
  4. Step 4: Simplify right side
    595,410.75x = 606,387,219,987.97
  5. Step 5: Solve for x
    x = 606,387,219,987.97/595,410.75
  6. Step 6: Final answer
    x = 1,018,435.12

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.