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Finding the Third Proportional to 513,541.50 and 801,402

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Solution

The third proportional to 513,541.50 and 801,402 is: 1,250,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,541.50 : 801,402 = 801,402 : x
  2. Step 2: Convert to fraction form
    513,541.50/801,402 = 801,402/x
  3. Step 3: Cross multiply
    513,541.50x = 801,402 × 801,402
  4. Step 4: Simplify right side
    513,541.50x = 642,245,165,604
  5. Step 5: Solve for x
    x = 642,245,165,604/513,541.50
  6. Step 6: Final answer
    x = 1,250,619.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.