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Finding the Third Proportional to 335,829 and 564,007.50

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Solution

The third proportional to 335,829 and 564,007.50 is: 947,221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,829 : 564,007.50 = 564,007.50 : x
  2. Step 2: Convert to fraction form
    335,829/564,007.50 = 564,007.50/x
  3. Step 3: Cross multiply
    335,829x = 564,007.50 × 564,007.50
  4. Step 4: Simplify right side
    335,829x = 318,104,460,056.25
  5. Step 5: Solve for x
    x = 318,104,460,056.25/335,829
  6. Step 6: Final answer
    x = 947,221.53

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.