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Finding the Third Proportional to 287,484 and 623,832

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Solution

The third proportional to 287,484 and 623,832 is: 1,353,697.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,484 : 623,832 = 623,832 : x
  2. Step 2: Convert to fraction form
    287,484/623,832 = 623,832/x
  3. Step 3: Cross multiply
    287,484x = 623,832 × 623,832
  4. Step 4: Simplify right side
    287,484x = 389,166,364,224
  5. Step 5: Solve for x
    x = 389,166,364,224/287,484
  6. Step 6: Final answer
    x = 1,353,697.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.