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Finding the Third Proportional to 350,045 and 528,275

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Solution

The third proportional to 350,045 and 528,275 is: 797,253.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,045 : 528,275 = 528,275 : x
  2. Step 2: Convert to fraction form
    350,045/528,275 = 528,275/x
  3. Step 3: Cross multiply
    350,045x = 528,275 × 528,275
  4. Step 4: Simplify right side
    350,045x = 279,074,475,625
  5. Step 5: Solve for x
    x = 279,074,475,625/350,045
  6. Step 6: Final answer
    x = 797,253.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.