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Finding the Third Proportional to 504,937.50 and 758,702.25

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Solution

The third proportional to 504,937.50 and 758,702.25 is: 1,140,000.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,937.50 : 758,702.25 = 758,702.25 : x
  2. Step 2: Convert to fraction form
    504,937.50/758,702.25 = 758,702.25/x
  3. Step 3: Cross multiply
    504,937.50x = 758,702.25 × 758,702.25
  4. Step 4: Simplify right side
    504,937.50x = 575,629,104,155.06
  5. Step 5: Solve for x
    x = 575,629,104,155.06/504,937.50
  6. Step 6: Final answer
    x = 1,140,000.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.