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Finding the Third Proportional to 405,292 and 592,304

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Solution

The third proportional to 405,292 and 592,304 is: 865,608.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,292 : 592,304 = 592,304 : x
  2. Step 2: Convert to fraction form
    405,292/592,304 = 592,304/x
  3. Step 3: Cross multiply
    405,292x = 592,304 × 592,304
  4. Step 4: Simplify right side
    405,292x = 350,824,028,416
  5. Step 5: Solve for x
    x = 350,824,028,416/405,292
  6. Step 6: Final answer
    x = 865,608.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.