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Finding the Third Proportional to 266,465 and 572,458

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Solution

The third proportional to 266,465 and 572,458 is: 1,229,835.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,465 : 572,458 = 572,458 : x
  2. Step 2: Convert to fraction form
    266,465/572,458 = 572,458/x
  3. Step 3: Cross multiply
    266,465x = 572,458 × 572,458
  4. Step 4: Simplify right side
    266,465x = 327,708,161,764
  5. Step 5: Solve for x
    x = 327,708,161,764/266,465
  6. Step 6: Final answer
    x = 1,229,835.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.