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Finding the Third Proportional to 282,888 and 610,056

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Solution

The third proportional to 282,888 and 610,056 is: 1,315,603.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,888 : 610,056 = 610,056 : x
  2. Step 2: Convert to fraction form
    282,888/610,056 = 610,056/x
  3. Step 3: Cross multiply
    282,888x = 610,056 × 610,056
  4. Step 4: Simplify right side
    282,888x = 372,168,323,136
  5. Step 5: Solve for x
    x = 372,168,323,136/282,888
  6. Step 6: Final answer
    x = 1,315,603.08

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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.