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Finding the Third Proportional to 377,932 and 572,896

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Solution

The third proportional to 377,932 and 572,896 is: 868,436.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,932 : 572,896 = 572,896 : x
  2. Step 2: Convert to fraction form
    377,932/572,896 = 572,896/x
  3. Step 3: Cross multiply
    377,932x = 572,896 × 572,896
  4. Step 4: Simplify right side
    377,932x = 328,209,826,816
  5. Step 5: Solve for x
    x = 328,209,826,816/377,932
  6. Step 6: Final answer
    x = 868,436.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.