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Finding the Third Proportional to 371,280 and 597,816

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Solution

The third proportional to 371,280 and 597,816 is: 962,572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,280 : 597,816 = 597,816 : x
  2. Step 2: Convert to fraction form
    371,280/597,816 = 597,816/x
  3. Step 3: Cross multiply
    371,280x = 597,816 × 597,816
  4. Step 4: Simplify right side
    371,280x = 357,383,969,856
  5. Step 5: Solve for x
    x = 357,383,969,856/371,280
  6. Step 6: Final answer
    x = 962,572.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.