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Finding the Third Proportional to 266,464.50 and 570,915

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Solution

The third proportional to 266,464.50 and 570,915 is: 1,223,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,464.50 : 570,915 = 570,915 : x
  2. Step 2: Convert to fraction form
    266,464.50/570,915 = 570,915/x
  3. Step 3: Cross multiply
    266,464.50x = 570,915 × 570,915
  4. Step 4: Simplify right side
    266,464.50x = 325,943,937,225
  5. Step 5: Solve for x
    x = 325,943,937,225/266,464.50
  6. Step 6: Final answer
    x = 1,223,217.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.