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Finding the Third Proportional to 572,644 and 757,158

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Solution

The third proportional to 572,644 and 757,158 is: 1,001,125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,644 : 757,158 = 757,158 : x
  2. Step 2: Convert to fraction form
    572,644/757,158 = 757,158/x
  3. Step 3: Cross multiply
    572,644x = 757,158 × 757,158
  4. Step 4: Simplify right side
    572,644x = 573,288,236,964
  5. Step 5: Solve for x
    x = 573,288,236,964/572,644
  6. Step 6: Final answer
    x = 1,001,125.02

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.