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Finding the Third Proportional to 584,234 and 924,329

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Solution

The third proportional to 584,234 and 924,329 is: 1,462,400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,234 : 924,329 = 924,329 : x
  2. Step 2: Convert to fraction form
    584,234/924,329 = 924,329/x
  3. Step 3: Cross multiply
    584,234x = 924,329 × 924,329
  4. Step 4: Simplify right side
    584,234x = 854,384,100,241
  5. Step 5: Solve for x
    x = 854,384,100,241/584,234
  6. Step 6: Final answer
    x = 1,462,400.51

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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.