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Finding the Third Proportional to 406,080 and 597,348

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Solution

The third proportional to 406,080 and 597,348 is: 878,705.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,080 : 597,348 = 597,348 : x
  2. Step 2: Convert to fraction form
    406,080/597,348 = 597,348/x
  3. Step 3: Cross multiply
    406,080x = 597,348 × 597,348
  4. Step 4: Simplify right side
    406,080x = 356,824,633,104
  5. Step 5: Solve for x
    x = 356,824,633,104/406,080
  6. Step 6: Final answer
    x = 878,705.26

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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.