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Finding the Third Proportional to 585,698.63 and 884,788.31

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Solution

The third proportional to 585,698.63 and 884,788.31 is: 1,336,609.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,698.63 : 884,788.31 = 884,788.31 : x
  2. Step 2: Convert to fraction form
    585,698.63/884,788.31 = 884,788.31/x
  3. Step 3: Cross multiply
    585,698.63x = 884,788.31 × 884,788.31
  4. Step 4: Simplify right side
    585,698.63x = 782,850,357,936.60
  5. Step 5: Solve for x
    x = 782,850,357,936.60/585,698.63
  6. Step 6: Final answer
    x = 1,336,609.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.