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Finding the Third Proportional to 572,001 and 856,897.50

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Solution

The third proportional to 572,001 and 856,897.50 is: 1,283,692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,001 : 856,897.50 = 856,897.50 : x
  2. Step 2: Convert to fraction form
    572,001/856,897.50 = 856,897.50/x
  3. Step 3: Cross multiply
    572,001x = 856,897.50 × 856,897.50
  4. Step 4: Simplify right side
    572,001x = 734,273,325,506.25
  5. Step 5: Solve for x
    x = 734,273,325,506.25/572,001
  6. Step 6: Final answer
    x = 1,283,692.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.