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Finding the Third Proportional to 514,953 and 753,997.50

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Solution

The third proportional to 514,953 and 753,997.50 is: 1,104,008.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,953 : 753,997.50 = 753,997.50 : x
  2. Step 2: Convert to fraction form
    514,953/753,997.50 = 753,997.50/x
  3. Step 3: Cross multiply
    514,953x = 753,997.50 × 753,997.50
  4. Step 4: Simplify right side
    514,953x = 568,512,230,006.25
  5. Step 5: Solve for x
    x = 568,512,230,006.25/514,953
  6. Step 6: Final answer
    x = 1,104,008.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.