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Finding the Third Proportional to 405,534 and 592,893

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Solution

The third proportional to 405,534 and 592,893 is: 866,812.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,534 : 592,893 = 592,893 : x
  2. Step 2: Convert to fraction form
    405,534/592,893 = 592,893/x
  3. Step 3: Cross multiply
    405,534x = 592,893 × 592,893
  4. Step 4: Simplify right side
    405,534x = 351,522,109,449
  5. Step 5: Solve for x
    x = 351,522,109,449/405,534
  6. Step 6: Final answer
    x = 866,812.92

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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.