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Finding the Third Proportional to 566,894.25 and 859,339.50

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Solution

The third proportional to 566,894.25 and 859,339.50 is: 1,302,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,894.25 : 859,339.50 = 859,339.50 : x
  2. Step 2: Convert to fraction form
    566,894.25/859,339.50 = 859,339.50/x
  3. Step 3: Cross multiply
    566,894.25x = 859,339.50 × 859,339.50
  4. Step 4: Simplify right side
    566,894.25x = 738,464,376,260.25
  5. Step 5: Solve for x
    x = 738,464,376,260.25/566,894.25
  6. Step 6: Final answer
    x = 1,302,649.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.