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Finding the Third Proportional to 406,364 and 597,760

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Solution

The third proportional to 406,364 and 597,760 is: 879,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,364 : 597,760 = 597,760 : x
  2. Step 2: Convert to fraction form
    406,364/597,760 = 597,760/x
  3. Step 3: Cross multiply
    406,364x = 597,760 × 597,760
  4. Step 4: Simplify right side
    406,364x = 357,317,017,600
  5. Step 5: Solve for x
    x = 357,317,017,600/406,364
  6. Step 6: Final answer
    x = 879,302.84

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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.