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Finding the Third Proportional to 597,032 and 924,396

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Solution

The third proportional to 597,032 and 924,396 is: 1,431,259.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,032 : 924,396 = 924,396 : x
  2. Step 2: Convert to fraction form
    597,032/924,396 = 924,396/x
  3. Step 3: Cross multiply
    597,032x = 924,396 × 924,396
  4. Step 4: Simplify right side
    597,032x = 854,507,964,816
  5. Step 5: Solve for x
    x = 854,507,964,816/597,032
  6. Step 6: Final answer
    x = 1,431,259.91

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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.