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Finding the Third Proportional to 510,165.75 and 737,482.50

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Solution

The third proportional to 510,165.75 and 737,482.50 is: 1,066,085.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,165.75 : 737,482.50 = 737,482.50 : x
  2. Step 2: Convert to fraction form
    510,165.75/737,482.50 = 737,482.50/x
  3. Step 3: Cross multiply
    510,165.75x = 737,482.50 × 737,482.50
  4. Step 4: Simplify right side
    510,165.75x = 543,880,437,806.25
  5. Step 5: Solve for x
    x = 543,880,437,806.25/510,165.75
  6. Step 6: Final answer
    x = 1,066,085.75

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.