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Finding the Third Proportional to 524,983.50 and 787,887

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Solution

The third proportional to 524,983.50 and 787,887 is: 1,182,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,983.50 : 787,887 = 787,887 : x
  2. Step 2: Convert to fraction form
    524,983.50/787,887 = 787,887/x
  3. Step 3: Cross multiply
    524,983.50x = 787,887 × 787,887
  4. Step 4: Simplify right side
    524,983.50x = 620,765,924,769
  5. Step 5: Solve for x
    x = 620,765,924,769/524,983.50
  6. Step 6: Final answer
    x = 1,182,448.45

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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.