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Finding the Third Proportional to 572,769 and 866,389.50

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Solution

The third proportional to 572,769 and 866,389.50 is: 1,310,529.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,769 : 866,389.50 = 866,389.50 : x
  2. Step 2: Convert to fraction form
    572,769/866,389.50 = 866,389.50/x
  3. Step 3: Cross multiply
    572,769x = 866,389.50 × 866,389.50
  4. Step 4: Simplify right side
    572,769x = 750,630,765,710.25
  5. Step 5: Solve for x
    x = 750,630,765,710.25/572,769
  6. Step 6: Final answer
    x = 1,310,529.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.