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Finding the Third Proportional to 597,278 and 924,807

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Solution

The third proportional to 597,278 and 924,807 is: 1,431,942.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,278 : 924,807 = 924,807 : x
  2. Step 2: Convert to fraction form
    597,278/924,807 = 924,807/x
  3. Step 3: Cross multiply
    597,278x = 924,807 × 924,807
  4. Step 4: Simplify right side
    597,278x = 855,267,987,249
  5. Step 5: Solve for x
    x = 855,267,987,249/597,278
  6. Step 6: Final answer
    x = 1,431,942.89

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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.