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Finding the Third Proportional to 282,809.25 and 609,898.50

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Solution

The third proportional to 282,809.25 and 609,898.50 is: 1,315,290.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,809.25 : 609,898.50 = 609,898.50 : x
  2. Step 2: Convert to fraction form
    282,809.25/609,898.50 = 609,898.50/x
  3. Step 3: Cross multiply
    282,809.25x = 609,898.50 × 609,898.50
  4. Step 4: Simplify right side
    282,809.25x = 371,976,180,302.25
  5. Step 5: Solve for x
    x = 371,976,180,302.25/282,809.25
  6. Step 6: Final answer
    x = 1,315,290.01

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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.