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Finding the Third Proportional to 350,146 and 525,091

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Solution

The third proportional to 350,146 and 525,091 is: 787,444.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,146 : 525,091 = 525,091 : x
  2. Step 2: Convert to fraction form
    350,146/525,091 = 525,091/x
  3. Step 3: Cross multiply
    350,146x = 525,091 × 525,091
  4. Step 4: Simplify right side
    350,146x = 275,720,558,281
  5. Step 5: Solve for x
    x = 275,720,558,281/350,146
  6. Step 6: Final answer
    x = 787,444.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.