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Finding the Third Proportional to 286,351 and 592,522

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Solution

The third proportional to 286,351 and 592,522 is: 1,226,055.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,351 : 592,522 = 592,522 : x
  2. Step 2: Convert to fraction form
    286,351/592,522 = 592,522/x
  3. Step 3: Cross multiply
    286,351x = 592,522 × 592,522
  4. Step 4: Simplify right side
    286,351x = 351,082,320,484
  5. Step 5: Solve for x
    x = 351,082,320,484/286,351
  6. Step 6: Final answer
    x = 1,226,055.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.