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Finding the Third Proportional to 597,298 and 924,837

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Solution

The third proportional to 597,298 and 924,837 is: 1,431,987.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,298 : 924,837 = 924,837 : x
  2. Step 2: Convert to fraction form
    597,298/924,837 = 924,837/x
  3. Step 3: Cross multiply
    597,298x = 924,837 × 924,837
  4. Step 4: Simplify right side
    597,298x = 855,323,476,569
  5. Step 5: Solve for x
    x = 855,323,476,569/597,298
  6. Step 6: Final answer
    x = 1,431,987.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.