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Finding the Third Proportional to 560,148 and 860,988

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Solution

The third proportional to 560,148 and 860,988 is: 1,323,400.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,148 : 860,988 = 860,988 : x
  2. Step 2: Convert to fraction form
    560,148/860,988 = 860,988/x
  3. Step 3: Cross multiply
    560,148x = 860,988 × 860,988
  4. Step 4: Simplify right side
    560,148x = 741,300,336,144
  5. Step 5: Solve for x
    x = 741,300,336,144/560,148
  6. Step 6: Final answer
    x = 1,323,400.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.