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Finding the Third Proportional to 584,274 and 924,378

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Solution

The third proportional to 584,274 and 924,378 is: 1,462,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,274 : 924,378 = 924,378 : x
  2. Step 2: Convert to fraction form
    584,274/924,378 = 924,378/x
  3. Step 3: Cross multiply
    584,274x = 924,378 × 924,378
  4. Step 4: Simplify right side
    584,274x = 854,474,686,884
  5. Step 5: Solve for x
    x = 854,474,686,884/584,274
  6. Step 6: Final answer
    x = 1,462,455.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.