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Finding the Third Proportional to 287,645 and 450,248

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Solution

The third proportional to 287,645 and 450,248 is: 704,768.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,645 : 450,248 = 450,248 : x
  2. Step 2: Convert to fraction form
    287,645/450,248 = 450,248/x
  3. Step 3: Cross multiply
    287,645x = 450,248 × 450,248
  4. Step 4: Simplify right side
    287,645x = 202,723,261,504
  5. Step 5: Solve for x
    x = 202,723,261,504/287,645
  6. Step 6: Final answer
    x = 704,768.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.