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Finding the Third Proportional to 621,584 and 877,364

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Solution

The third proportional to 621,584 and 877,364 is: 1,238,396.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,584 : 877,364 = 877,364 : x
  2. Step 2: Convert to fraction form
    621,584/877,364 = 877,364/x
  3. Step 3: Cross multiply
    621,584x = 877,364 × 877,364
  4. Step 4: Simplify right side
    621,584x = 769,767,588,496
  5. Step 5: Solve for x
    x = 769,767,588,496/621,584
  6. Step 6: Final answer
    x = 1,238,396.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.