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Finding the Third Proportional to 281,952 and 610,368

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Solution

The third proportional to 281,952 and 610,368 is: 1,321,320.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,952 : 610,368 = 610,368 : x
  2. Step 2: Convert to fraction form
    281,952/610,368 = 610,368/x
  3. Step 3: Cross multiply
    281,952x = 610,368 × 610,368
  4. Step 4: Simplify right side
    281,952x = 372,549,095,424
  5. Step 5: Solve for x
    x = 372,549,095,424/281,952
  6. Step 6: Final answer
    x = 1,321,320.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.