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Finding the Third Proportional to 564,768.56 and 860,385.09

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Solution

The third proportional to 564,768.56 and 860,385.09 is: 1,310,736.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,768.56 : 860,385.09 = 860,385.09 : x
  2. Step 2: Convert to fraction form
    564,768.56/860,385.09 = 860,385.09/x
  3. Step 3: Cross multiply
    564,768.56x = 860,385.09 × 860,385.09
  4. Step 4: Simplify right side
    564,768.56x = 740,262,509,547.20
  5. Step 5: Solve for x
    x = 740,262,509,547.20/564,768.56
  6. Step 6: Final answer
    x = 1,310,736.04

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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.