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Finding the Third Proportional to 557,948 and 811,000

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Solution

The third proportional to 557,948 and 811,000 is: 1,178,821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,948 : 811,000 = 811,000 : x
  2. Step 2: Convert to fraction form
    557,948/811,000 = 811,000/x
  3. Step 3: Cross multiply
    557,948x = 811,000 × 811,000
  4. Step 4: Simplify right side
    557,948x = 657,721,000,000
  5. Step 5: Solve for x
    x = 657,721,000,000/557,948
  6. Step 6: Final answer
    x = 1,178,821.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.