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Finding the Third Proportional to 264,822.75 and 392,088.38

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Solution

The third proportional to 264,822.75 and 392,088.38 is: 580,513.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,822.75 : 392,088.38 = 392,088.38 : x
  2. Step 2: Convert to fraction form
    264,822.75/392,088.38 = 392,088.38/x
  3. Step 3: Cross multiply
    264,822.75x = 392,088.38 × 392,088.38
  4. Step 4: Simplify right side
    264,822.75x = 153,733,293,810.14
  5. Step 5: Solve for x
    x = 153,733,293,810.14/264,822.75
  6. Step 6: Final answer
    x = 580,513.92

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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.