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Finding the Third Proportional to 264,387 and 558,913.50

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Solution

The third proportional to 264,387 and 558,913.50 is: 1,181,541.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,387 : 558,913.50 = 558,913.50 : x
  2. Step 2: Convert to fraction form
    264,387/558,913.50 = 558,913.50/x
  3. Step 3: Cross multiply
    264,387x = 558,913.50 × 558,913.50
  4. Step 4: Simplify right side
    264,387x = 312,384,300,482.25
  5. Step 5: Solve for x
    x = 312,384,300,482.25/264,387
  6. Step 6: Final answer
    x = 1,181,541.83

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.