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Finding the Third Proportional to 341,466.73 and 493,318.00

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Solution

The third proportional to 341,466.73 and 493,318.00 is: 712,697.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,466.73 : 493,318.00 = 493,318.00 : x
  2. Step 2: Convert to fraction form
    341,466.73/493,318.00 = 493,318.00/x
  3. Step 3: Cross multiply
    341,466.73x = 493,318.00 × 493,318.00
  4. Step 4: Simplify right side
    341,466.73x = 243,362,651,051.02
  5. Step 5: Solve for x
    x = 243,362,651,051.02/341,466.73
  6. Step 6: Final answer
    x = 712,697.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.