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Finding the Third Proportional to 584,227 and 924,319

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Solution

The third proportional to 584,227 and 924,319 is: 1,462,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,227 : 924,319 = 924,319 : x
  2. Step 2: Convert to fraction form
    584,227/924,319 = 924,319/x
  3. Step 3: Cross multiply
    584,227x = 924,319 × 924,319
  4. Step 4: Simplify right side
    584,227x = 854,365,613,761
  5. Step 5: Solve for x
    x = 854,365,613,761/584,227
  6. Step 6: Final answer
    x = 1,462,386.39

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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.