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Finding the Third Proportional to 563,898 and 874,480

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Solution

The third proportional to 563,898 and 874,480 is: 1,356,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,898 : 874,480 = 874,480 : x
  2. Step 2: Convert to fraction form
    563,898/874,480 = 874,480/x
  3. Step 3: Cross multiply
    563,898x = 874,480 × 874,480
  4. Step 4: Simplify right side
    563,898x = 764,715,270,400
  5. Step 5: Solve for x
    x = 764,715,270,400/563,898
  6. Step 6: Final answer
    x = 1,356,123.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.