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Finding the Third Proportional to 282,560 and 611,008

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Solution

The third proportional to 282,560 and 611,008 is: 1,321,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,560 : 611,008 = 611,008 : x
  2. Step 2: Convert to fraction form
    282,560/611,008 = 611,008/x
  3. Step 3: Cross multiply
    282,560x = 611,008 × 611,008
  4. Step 4: Simplify right side
    282,560x = 373,330,776,064
  5. Step 5: Solve for x
    x = 373,330,776,064/282,560
  6. Step 6: Final answer
    x = 1,321,244.25

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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.