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Finding the Third Proportional to 282,501 and 609,815.25

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Solution

The third proportional to 282,501 and 609,815.25 is: 1,316,365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,501 : 609,815.25 = 609,815.25 : x
  2. Step 2: Convert to fraction form
    282,501/609,815.25 = 609,815.25/x
  3. Step 3: Cross multiply
    282,501x = 609,815.25 × 609,815.25
  4. Step 4: Simplify right side
    282,501x = 371,874,639,132.56
  5. Step 5: Solve for x
    x = 371,874,639,132.56/282,501
  6. Step 6: Final answer
    x = 1,316,365.74

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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.