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Finding the Third Proportional to 264,444.75 and 570,962.25

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Solution

The third proportional to 264,444.75 and 570,962.25 is: 1,232,763.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,444.75 : 570,962.25 = 570,962.25 : x
  2. Step 2: Convert to fraction form
    264,444.75/570,962.25 = 570,962.25/x
  3. Step 3: Cross multiply
    264,444.75x = 570,962.25 × 570,962.25
  4. Step 4: Simplify right side
    264,444.75x = 325,997,890,925.06
  5. Step 5: Solve for x
    x = 325,997,890,925.06/264,444.75
  6. Step 6: Final answer
    x = 1,232,763.71

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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.