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Finding the Third Proportional to 492,164 and 748,200

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Solution

The third proportional to 492,164 and 748,200 is: 1,137,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,164 : 748,200 = 748,200 : x
  2. Step 2: Convert to fraction form
    492,164/748,200 = 748,200/x
  3. Step 3: Cross multiply
    492,164x = 748,200 × 748,200
  4. Step 4: Simplify right side
    492,164x = 559,803,240,000
  5. Step 5: Solve for x
    x = 559,803,240,000/492,164
  6. Step 6: Final answer
    x = 1,137,432.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.