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Finding the Third Proportional to 260,808 and 572,304

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Solution

The third proportional to 260,808 and 572,304 is: 1,255,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,808 : 572,304 = 572,304 : x
  2. Step 2: Convert to fraction form
    260,808/572,304 = 572,304/x
  3. Step 3: Cross multiply
    260,808x = 572,304 × 572,304
  4. Step 4: Simplify right side
    260,808x = 327,531,868,416
  5. Step 5: Solve for x
    x = 327,531,868,416/260,808
  6. Step 6: Final answer
    x = 1,255,835.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.