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Finding the Third Proportional to 581,882 and 897,352

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Solution

The third proportional to 581,882 and 897,352 is: 1,383,855.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,882 : 897,352 = 897,352 : x
  2. Step 2: Convert to fraction form
    581,882/897,352 = 897,352/x
  3. Step 3: Cross multiply
    581,882x = 897,352 × 897,352
  4. Step 4: Simplify right side
    581,882x = 805,240,611,904
  5. Step 5: Solve for x
    x = 805,240,611,904/581,882
  6. Step 6: Final answer
    x = 1,383,855.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.