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Finding the Third Proportional to 584,232 and 924,326

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Solution

The third proportional to 584,232 and 924,326 is: 1,462,396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,232 : 924,326 = 924,326 : x
  2. Step 2: Convert to fraction form
    584,232/924,326 = 924,326/x
  3. Step 3: Cross multiply
    584,232x = 924,326 × 924,326
  4. Step 4: Simplify right side
    584,232x = 854,378,554,276
  5. Step 5: Solve for x
    x = 854,378,554,276/584,232
  6. Step 6: Final answer
    x = 1,462,396.02

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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.