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Finding the Third Proportional to 319,362 and 500,985

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Solution

The third proportional to 319,362 and 500,985 is: 785,898.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,362 : 500,985 = 500,985 : x
  2. Step 2: Convert to fraction form
    319,362/500,985 = 500,985/x
  3. Step 3: Cross multiply
    319,362x = 500,985 × 500,985
  4. Step 4: Simplify right side
    319,362x = 250,985,970,225
  5. Step 5: Solve for x
    x = 250,985,970,225/319,362
  6. Step 6: Final answer
    x = 785,898.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.