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Finding the Third Proportional to 476,574.75 and 742,996.50

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Solution

The third proportional to 476,574.75 and 742,996.50 is: 1,158,357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,574.75 : 742,996.50 = 742,996.50 : x
  2. Step 2: Convert to fraction form
    476,574.75/742,996.50 = 742,996.50/x
  3. Step 3: Cross multiply
    476,574.75x = 742,996.50 × 742,996.50
  4. Step 4: Simplify right side
    476,574.75x = 552,043,799,012.25
  5. Step 5: Solve for x
    x = 552,043,799,012.25/476,574.75
  6. Step 6: Final answer
    x = 1,158,357.21

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Why These Related Problems?

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