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Finding the Third Proportional to 264,799.13 and 392,055.19

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Solution

The third proportional to 264,799.13 and 392,055.19 is: 580,467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,799.13 : 392,055.19 = 392,055.19 : x
  2. Step 2: Convert to fraction form
    264,799.13/392,055.19 = 392,055.19/x
  3. Step 3: Cross multiply
    264,799.13x = 392,055.19 × 392,055.19
  4. Step 4: Simplify right side
    264,799.13x = 153,707,270,045.66
  5. Step 5: Solve for x
    x = 153,707,270,045.66/264,799.13
  6. Step 6: Final answer
    x = 580,467.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.