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Finding the Third Proportional to 282,510 and 609,833

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Solution

The third proportional to 282,510 and 609,833 is: 1,316,400.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,510 : 609,833 = 609,833 : x
  2. Step 2: Convert to fraction form
    282,510/609,833 = 609,833/x
  3. Step 3: Cross multiply
    282,510x = 609,833 × 609,833
  4. Step 4: Simplify right side
    282,510x = 371,896,287,889
  5. Step 5: Solve for x
    x = 371,896,287,889/282,510
  6. Step 6: Final answer
    x = 1,316,400.44

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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.