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Finding the Third Proportional to 590,400 and 939,901.50

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Solution

The third proportional to 590,400 and 939,901.50 is: 1,496,298.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,400 : 939,901.50 = 939,901.50 : x
  2. Step 2: Convert to fraction form
    590,400/939,901.50 = 939,901.50/x
  3. Step 3: Cross multiply
    590,400x = 939,901.50 × 939,901.50
  4. Step 4: Simplify right side
    590,400x = 883,414,829,702.25
  5. Step 5: Solve for x
    x = 883,414,829,702.25/590,400
  6. Step 6: Final answer
    x = 1,496,298.83

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Why These Related Problems?

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