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Finding the Third Proportional to 597,948 and 805,562

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Solution

The third proportional to 597,948 and 805,562 is: 1,085,261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,948 : 805,562 = 805,562 : x
  2. Step 2: Convert to fraction form
    597,948/805,562 = 805,562/x
  3. Step 3: Cross multiply
    597,948x = 805,562 × 805,562
  4. Step 4: Simplify right side
    597,948x = 648,930,135,844
  5. Step 5: Solve for x
    x = 648,930,135,844/597,948
  6. Step 6: Final answer
    x = 1,085,261.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.