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Finding the Third Proportional to 315,495 and 442,693.50

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Solution

The third proportional to 315,495 and 442,693.50 is: 621,174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,495 : 442,693.50 = 442,693.50 : x
  2. Step 2: Convert to fraction form
    315,495/442,693.50 = 442,693.50/x
  3. Step 3: Cross multiply
    315,495x = 442,693.50 × 442,693.50
  4. Step 4: Simplify right side
    315,495x = 195,977,534,942.25
  5. Step 5: Solve for x
    x = 195,977,534,942.25/315,495
  6. Step 6: Final answer
    x = 621,174.77

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.