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Finding the Third Proportional to 242,359.50 and 496,473

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Solution

The third proportional to 242,359.50 and 496,473 is: 1,017,024.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,359.50 : 496,473 = 496,473 : x
  2. Step 2: Convert to fraction form
    242,359.50/496,473 = 496,473/x
  3. Step 3: Cross multiply
    242,359.50x = 496,473 × 496,473
  4. Step 4: Simplify right side
    242,359.50x = 246,485,439,729
  5. Step 5: Solve for x
    x = 246,485,439,729/242,359.50
  6. Step 6: Final answer
    x = 1,017,024.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.