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Finding the Third Proportional to 537,328 and 798,476

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Solution

The third proportional to 537,328 and 798,476 is: 1,186,545.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,328 : 798,476 = 798,476 : x
  2. Step 2: Convert to fraction form
    537,328/798,476 = 798,476/x
  3. Step 3: Cross multiply
    537,328x = 798,476 × 798,476
  4. Step 4: Simplify right side
    537,328x = 637,563,922,576
  5. Step 5: Solve for x
    x = 637,563,922,576/537,328
  6. Step 6: Final answer
    x = 1,186,545.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.