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Finding the Third Proportional to 476,574.50 and 742,996

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Solution

The third proportional to 476,574.50 and 742,996 is: 1,158,356.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,574.50 : 742,996 = 742,996 : x
  2. Step 2: Convert to fraction form
    476,574.50/742,996 = 742,996/x
  3. Step 3: Cross multiply
    476,574.50x = 742,996 × 742,996
  4. Step 4: Simplify right side
    476,574.50x = 552,043,056,016
  5. Step 5: Solve for x
    x = 552,043,056,016/476,574.50
  6. Step 6: Final answer
    x = 1,158,356.26

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.