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Finding the Third Proportional to 406,973 and 598,282

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Solution

The third proportional to 406,973 and 598,282 is: 879,521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,973 : 598,282 = 598,282 : x
  2. Step 2: Convert to fraction form
    406,973/598,282 = 598,282/x
  3. Step 3: Cross multiply
    406,973x = 598,282 × 598,282
  4. Step 4: Simplify right side
    406,973x = 357,941,351,524
  5. Step 5: Solve for x
    x = 357,941,351,524/406,973
  6. Step 6: Final answer
    x = 879,521.13

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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.