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Finding the Third Proportional to 537,936 and 791,328

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Solution

The third proportional to 537,936 and 791,328 is: 1,164,079.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,936 : 791,328 = 791,328 : x
  2. Step 2: Convert to fraction form
    537,936/791,328 = 791,328/x
  3. Step 3: Cross multiply
    537,936x = 791,328 × 791,328
  4. Step 4: Simplify right side
    537,936x = 626,200,003,584
  5. Step 5: Solve for x
    x = 626,200,003,584/537,936
  6. Step 6: Final answer
    x = 1,164,079.00

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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.