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Finding the Third Proportional to 228,307.08 and 495,518.77

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Solution

The third proportional to 228,307.08 and 495,518.77 is: 1,075,476.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,307.08 : 495,518.77 = 495,518.77 : x
  2. Step 2: Convert to fraction form
    228,307.08/495,518.77 = 495,518.77/x
  3. Step 3: Cross multiply
    228,307.08x = 495,518.77 × 495,518.77
  4. Step 4: Simplify right side
    228,307.08x = 245,538,847,086.52
  5. Step 5: Solve for x
    x = 245,538,847,086.52/228,307.08
  6. Step 6: Final answer
    x = 1,075,476.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.