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Finding the Third Proportional to 264,127.50 and 557,415

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Solution

The third proportional to 264,127.50 and 557,415 is: 1,176,369.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,127.50 : 557,415 = 557,415 : x
  2. Step 2: Convert to fraction form
    264,127.50/557,415 = 557,415/x
  3. Step 3: Cross multiply
    264,127.50x = 557,415 × 557,415
  4. Step 4: Simplify right side
    264,127.50x = 310,711,482,225
  5. Step 5: Solve for x
    x = 310,711,482,225/264,127.50
  6. Step 6: Final answer
    x = 1,176,369.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.