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Finding the Third Proportional to 535,432 and 785,274

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Solution

The third proportional to 535,432 and 785,274 is: 1,151,696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,432 : 785,274 = 785,274 : x
  2. Step 2: Convert to fraction form
    535,432/785,274 = 785,274/x
  3. Step 3: Cross multiply
    535,432x = 785,274 × 785,274
  4. Step 4: Simplify right side
    535,432x = 616,655,255,076
  5. Step 5: Solve for x
    x = 616,655,255,076/535,432
  6. Step 6: Final answer
    x = 1,151,696.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.