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Finding the Third Proportional to 501,999 and 744,358.50

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Solution

The third proportional to 501,999 and 744,358.50 is: 1,103,726.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,999 : 744,358.50 = 744,358.50 : x
  2. Step 2: Convert to fraction form
    501,999/744,358.50 = 744,358.50/x
  3. Step 3: Cross multiply
    501,999x = 744,358.50 × 744,358.50
  4. Step 4: Simplify right side
    501,999x = 554,069,576,522.25
  5. Step 5: Solve for x
    x = 554,069,576,522.25/501,999
  6. Step 6: Final answer
    x = 1,103,726.45

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.