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Finding the Third Proportional to 287,931 and 450,648

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Solution

The third proportional to 287,931 and 450,648 is: 705,320.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,931 : 450,648 = 450,648 : x
  2. Step 2: Convert to fraction form
    287,931/450,648 = 450,648/x
  3. Step 3: Cross multiply
    287,931x = 450,648 × 450,648
  4. Step 4: Simplify right side
    287,931x = 203,083,619,904
  5. Step 5: Solve for x
    x = 203,083,619,904/287,931
  6. Step 6: Final answer
    x = 705,320.44

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