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Finding the Third Proportional to 264,423 and 570,923

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Solution

The third proportional to 264,423 and 570,923 is: 1,232,695.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,423 : 570,923 = 570,923 : x
  2. Step 2: Convert to fraction form
    264,423/570,923 = 570,923/x
  3. Step 3: Cross multiply
    264,423x = 570,923 × 570,923
  4. Step 4: Simplify right side
    264,423x = 325,953,071,929
  5. Step 5: Solve for x
    x = 325,953,071,929/264,423
  6. Step 6: Final answer
    x = 1,232,695.61

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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.