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Finding the Third Proportional to 585,698.34 and 884,788.15

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Solution

The third proportional to 585,698.34 and 884,788.15 is: 1,336,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,698.34 : 884,788.15 = 884,788.15 : x
  2. Step 2: Convert to fraction form
    585,698.34/884,788.15 = 884,788.15/x
  3. Step 3: Cross multiply
    585,698.34x = 884,788.15 × 884,788.15
  4. Step 4: Simplify right side
    585,698.34x = 782,850,077,984.08
  5. Step 5: Solve for x
    x = 782,850,077,984.08/585,698.34
  6. Step 6: Final answer
    x = 1,336,609.68

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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.