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Finding the Third Proportional to 590,447 and 939,970.50

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Solution

The third proportional to 590,447 and 939,970.50 is: 1,496,399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,447 : 939,970.50 = 939,970.50 : x
  2. Step 2: Convert to fraction form
    590,447/939,970.50 = 939,970.50/x
  3. Step 3: Cross multiply
    590,447x = 939,970.50 × 939,970.50
  4. Step 4: Simplify right side
    590,447x = 883,544,540,870.25
  5. Step 5: Solve for x
    x = 883,544,540,870.25/590,447
  6. Step 6: Final answer
    x = 1,496,399.41

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.