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Finding the Third Proportional to 457,569 and 699,961.50

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Solution

The third proportional to 457,569 and 699,961.50 is: 1,070,758.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,569 : 699,961.50 = 699,961.50 : x
  2. Step 2: Convert to fraction form
    457,569/699,961.50 = 699,961.50/x
  3. Step 3: Cross multiply
    457,569x = 699,961.50 × 699,961.50
  4. Step 4: Simplify right side
    457,569x = 489,946,101,482.25
  5. Step 5: Solve for x
    x = 489,946,101,482.25/457,569
  6. Step 6: Final answer
    x = 1,070,758.95

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.