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Finding the Third Proportional to 584,266 and 924,366

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Solution

The third proportional to 584,266 and 924,366 is: 1,462,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,266 : 924,366 = 924,366 : x
  2. Step 2: Convert to fraction form
    584,266/924,366 = 924,366/x
  3. Step 3: Cross multiply
    584,266x = 924,366 × 924,366
  4. Step 4: Simplify right side
    584,266x = 854,452,501,956
  5. Step 5: Solve for x
    x = 854,452,501,956/584,266
  6. Step 6: Final answer
    x = 1,462,437.49

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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.