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Finding the Third Proportional to 350,210 and 535,480

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Solution

The third proportional to 350,210 and 535,480 is: 818,762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,210 : 535,480 = 535,480 : x
  2. Step 2: Convert to fraction form
    350,210/535,480 = 535,480/x
  3. Step 3: Cross multiply
    350,210x = 535,480 × 535,480
  4. Step 4: Simplify right side
    350,210x = 286,738,830,400
  5. Step 5: Solve for x
    x = 286,738,830,400/350,210
  6. Step 6: Final answer
    x = 818,762.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.