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Finding the Third Proportional to 365,311 and 573,209.50

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Solution

The third proportional to 365,311 and 573,209.50 is: 899,423.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,311 : 573,209.50 = 573,209.50 : x
  2. Step 2: Convert to fraction form
    365,311/573,209.50 = 573,209.50/x
  3. Step 3: Cross multiply
    365,311x = 573,209.50 × 573,209.50
  4. Step 4: Simplify right side
    365,311x = 328,569,130,890.25
  5. Step 5: Solve for x
    x = 328,569,130,890.25/365,311
  6. Step 6: Final answer
    x = 899,423.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.