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Finding the Third Proportional to 436,915 and 590,300

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Solution

The third proportional to 436,915 and 590,300 is: 797,532.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,915 : 590,300 = 590,300 : x
  2. Step 2: Convert to fraction form
    436,915/590,300 = 590,300/x
  3. Step 3: Cross multiply
    436,915x = 590,300 × 590,300
  4. Step 4: Simplify right side
    436,915x = 348,454,090,000
  5. Step 5: Solve for x
    x = 348,454,090,000/436,915
  6. Step 6: Final answer
    x = 797,532.91

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.