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Finding the Third Proportional to 282,709.13 and 609,703.31

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Solution

The third proportional to 282,709.13 and 609,703.31 is: 1,314,913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,709.13 : 609,703.31 = 609,703.31 : x
  2. Step 2: Convert to fraction form
    282,709.13/609,703.31 = 609,703.31/x
  3. Step 3: Cross multiply
    282,709.13x = 609,703.31 × 609,703.31
  4. Step 4: Simplify right side
    282,709.13x = 371,738,129,273.47
  5. Step 5: Solve for x
    x = 371,738,129,273.47/282,709.13
  6. Step 6: Final answer
    x = 1,314,913.80

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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.