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Finding the Third Proportional to 377,075.25 and 527,454.28

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Solution

The third proportional to 377,075.25 and 527,454.28 is: 737,805.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,075.25 : 527,454.28 = 527,454.28 : x
  2. Step 2: Convert to fraction form
    377,075.25/527,454.28 = 527,454.28/x
  3. Step 3: Cross multiply
    377,075.25x = 527,454.28 × 527,454.28
  4. Step 4: Simplify right side
    377,075.25x = 278,208,018,808.95
  5. Step 5: Solve for x
    x = 278,208,018,808.95/377,075.25
  6. Step 6: Final answer
    x = 737,805.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.