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Finding the Third Proportional to 350,140 and 540,737

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Solution

The third proportional to 350,140 and 540,737 is: 835,084.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,140 : 540,737 = 540,737 : x
  2. Step 2: Convert to fraction form
    350,140/540,737 = 540,737/x
  3. Step 3: Cross multiply
    350,140x = 540,737 × 540,737
  4. Step 4: Simplify right side
    350,140x = 292,396,503,169
  5. Step 5: Solve for x
    x = 292,396,503,169/350,140
  6. Step 6: Final answer
    x = 835,084.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.