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Finding the Third Proportional to 402,285.50 and 607,529

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Solution

The third proportional to 402,285.50 and 607,529 is: 917,486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,285.50 : 607,529 = 607,529 : x
  2. Step 2: Convert to fraction form
    402,285.50/607,529 = 607,529/x
  3. Step 3: Cross multiply
    402,285.50x = 607,529 × 607,529
  4. Step 4: Simplify right side
    402,285.50x = 369,091,485,841
  5. Step 5: Solve for x
    x = 369,091,485,841/402,285.50
  6. Step 6: Final answer
    x = 917,486.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.