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Finding the Third Proportional to 265,330.69 and 572,692.78

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Solution

The third proportional to 265,330.69 and 572,692.78 is: 1,236,106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,330.69 : 572,692.78 = 572,692.78 : x
  2. Step 2: Convert to fraction form
    265,330.69/572,692.78 = 572,692.78/x
  3. Step 3: Cross multiply
    265,330.69x = 572,692.78 × 572,692.78
  4. Step 4: Simplify right side
    265,330.69x = 327,977,021,695.86
  5. Step 5: Solve for x
    x = 327,977,021,695.86/265,330.69
  6. Step 6: Final answer
    x = 1,236,106.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.