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Finding the Third Proportional to 270,672 and 570,528

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Solution

The third proportional to 270,672 and 570,528 is: 1,202,570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,672 : 570,528 = 570,528 : x
  2. Step 2: Convert to fraction form
    270,672/570,528 = 570,528/x
  3. Step 3: Cross multiply
    270,672x = 570,528 × 570,528
  4. Step 4: Simplify right side
    270,672x = 325,502,198,784
  5. Step 5: Solve for x
    x = 325,502,198,784/270,672
  6. Step 6: Final answer
    x = 1,202,570.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.