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Finding the Third Proportional to 287,463 and 604,716

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Solution

The third proportional to 287,463 and 604,716 is: 1,272,099.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,463 : 604,716 = 604,716 : x
  2. Step 2: Convert to fraction form
    287,463/604,716 = 604,716/x
  3. Step 3: Cross multiply
    287,463x = 604,716 × 604,716
  4. Step 4: Simplify right side
    287,463x = 365,681,440,656
  5. Step 5: Solve for x
    x = 365,681,440,656/287,463
  6. Step 6: Final answer
    x = 1,272,099.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.