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Finding the Third Proportional to 318,723.50 and 695,402.50

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Solution

The third proportional to 318,723.50 and 695,402.50 is: 1,517,254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,723.50 : 695,402.50 = 695,402.50 : x
  2. Step 2: Convert to fraction form
    318,723.50/695,402.50 = 695,402.50/x
  3. Step 3: Cross multiply
    318,723.50x = 695,402.50 × 695,402.50
  4. Step 4: Simplify right side
    318,723.50x = 483,584,637,006.25
  5. Step 5: Solve for x
    x = 483,584,637,006.25/318,723.50
  6. Step 6: Final answer
    x = 1,517,254.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.