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Finding the Third Proportional to 264,160 and 570,432

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Solution

The third proportional to 264,160 and 570,432 is: 1,231,801.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,160 : 570,432 = 570,432 : x
  2. Step 2: Convert to fraction form
    264,160/570,432 = 570,432/x
  3. Step 3: Cross multiply
    264,160x = 570,432 × 570,432
  4. Step 4: Simplify right side
    264,160x = 325,392,666,624
  5. Step 5: Solve for x
    x = 325,392,666,624/264,160
  6. Step 6: Final answer
    x = 1,231,801.43

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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.