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Finding the Third Proportional to 453,291.75 and 613,368

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Solution

The third proportional to 453,291.75 and 613,368 is: 829,973.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,291.75 : 613,368 = 613,368 : x
  2. Step 2: Convert to fraction form
    453,291.75/613,368 = 613,368/x
  3. Step 3: Cross multiply
    453,291.75x = 613,368 × 613,368
  4. Step 4: Simplify right side
    453,291.75x = 376,220,303,424
  5. Step 5: Solve for x
    x = 376,220,303,424/453,291.75
  6. Step 6: Final answer
    x = 829,973.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.