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Finding the Third Proportional to 472,611 and 705,829.50

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Solution

The third proportional to 472,611 and 705,829.50 is: 1,054,133.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,611 : 705,829.50 = 705,829.50 : x
  2. Step 2: Convert to fraction form
    472,611/705,829.50 = 705,829.50/x
  3. Step 3: Cross multiply
    472,611x = 705,829.50 × 705,829.50
  4. Step 4: Simplify right side
    472,611x = 498,195,283,070.25
  5. Step 5: Solve for x
    x = 498,195,283,070.25/472,611
  6. Step 6: Final answer
    x = 1,054,133.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.