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Finding the Third Proportional to 264,490.31 and 402,271.31

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Solution

The third proportional to 264,490.31 and 402,271.31 is: 611,826.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,490.31 : 402,271.31 = 402,271.31 : x
  2. Step 2: Convert to fraction form
    264,490.31/402,271.31 = 402,271.31/x
  3. Step 3: Cross multiply
    264,490.31x = 402,271.31 × 402,271.31
  4. Step 4: Simplify right side
    264,490.31x = 161,822,208,860.47
  5. Step 5: Solve for x
    x = 161,822,208,860.47/264,490.31
  6. Step 6: Final answer
    x = 611,826.60

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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.