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Finding the Third Proportional to 292,182.75 and 456,736.50

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Solution

The third proportional to 292,182.75 and 456,736.50 is: 713,964.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,182.75 : 456,736.50 = 456,736.50 : x
  2. Step 2: Convert to fraction form
    292,182.75/456,736.50 = 456,736.50/x
  3. Step 3: Cross multiply
    292,182.75x = 456,736.50 × 456,736.50
  4. Step 4: Simplify right side
    292,182.75x = 208,608,230,432.25
  5. Step 5: Solve for x
    x = 208,608,230,432.25/292,182.75
  6. Step 6: Final answer
    x = 713,964.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.