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Finding the Third Proportional to 519,925.50 and 706,419

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Solution

The third proportional to 519,925.50 and 706,419 is: 959,806.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,925.50 : 706,419 = 706,419 : x
  2. Step 2: Convert to fraction form
    519,925.50/706,419 = 706,419/x
  3. Step 3: Cross multiply
    519,925.50x = 706,419 × 706,419
  4. Step 4: Simplify right side
    519,925.50x = 499,027,803,561
  5. Step 5: Solve for x
    x = 499,027,803,561/519,925.50
  6. Step 6: Final answer
    x = 959,806.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.