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Finding the Third Proportional to 242,804 and 533,785

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Solution

The third proportional to 242,804 and 533,785 is: 1,173,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,804 : 533,785 = 533,785 : x
  2. Step 2: Convert to fraction form
    242,804/533,785 = 533,785/x
  3. Step 3: Cross multiply
    242,804x = 533,785 × 533,785
  4. Step 4: Simplify right side
    242,804x = 284,926,426,225
  5. Step 5: Solve for x
    x = 284,926,426,225/242,804
  6. Step 6: Final answer
    x = 1,173,483.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.