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Finding the Third Proportional to 310,490.72 and 467,271.28

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Solution

The third proportional to 310,490.72 and 467,271.28 is: 703,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,490.72 : 467,271.28 = 467,271.28 : x
  2. Step 2: Convert to fraction form
    310,490.72/467,271.28 = 467,271.28/x
  3. Step 3: Cross multiply
    310,490.72x = 467,271.28 × 467,271.28
  4. Step 4: Simplify right side
    310,490.72x = 218,342,450,281.02
  5. Step 5: Solve for x
    x = 218,342,450,281.02/310,490.72
  6. Step 6: Final answer
    x = 703,217.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.