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Finding the Third Proportional to 241,867.50 and 564,798

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Solution

The third proportional to 241,867.50 and 564,798 is: 1,318,890.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,867.50 : 564,798 = 564,798 : x
  2. Step 2: Convert to fraction form
    241,867.50/564,798 = 564,798/x
  3. Step 3: Cross multiply
    241,867.50x = 564,798 × 564,798
  4. Step 4: Simplify right side
    241,867.50x = 318,996,780,804
  5. Step 5: Solve for x
    x = 318,996,780,804/241,867.50
  6. Step 6: Final answer
    x = 1,318,890.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.