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Finding the Third Proportional to 590,436 and 939,955.50

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Solution

The third proportional to 590,436 and 939,955.50 is: 1,496,379.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,436 : 939,955.50 = 939,955.50 : x
  2. Step 2: Convert to fraction form
    590,436/939,955.50 = 939,955.50/x
  3. Step 3: Cross multiply
    590,436x = 939,955.50 × 939,955.50
  4. Step 4: Simplify right side
    590,436x = 883,516,341,980.25
  5. Step 5: Solve for x
    x = 883,516,341,980.25/590,436
  6. Step 6: Final answer
    x = 1,496,379.53

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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.