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Finding the Third Proportional to 505,302.50 and 757,953

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Solution

The third proportional to 505,302.50 and 757,953 is: 1,136,928.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,302.50 : 757,953 = 757,953 : x
  2. Step 2: Convert to fraction form
    505,302.50/757,953 = 757,953/x
  3. Step 3: Cross multiply
    505,302.50x = 757,953 × 757,953
  4. Step 4: Simplify right side
    505,302.50x = 574,492,750,209
  5. Step 5: Solve for x
    x = 574,492,750,209/505,302.50
  6. Step 6: Final answer
    x = 1,136,928.38

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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.