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Finding the Third Proportional to 453,874.50 and 602,077.50

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Solution

The third proportional to 453,874.50 and 602,077.50 is: 798,673.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,874.50 : 602,077.50 = 602,077.50 : x
  2. Step 2: Convert to fraction form
    453,874.50/602,077.50 = 602,077.50/x
  3. Step 3: Cross multiply
    453,874.50x = 602,077.50 × 602,077.50
  4. Step 4: Simplify right side
    453,874.50x = 362,497,316,006.25
  5. Step 5: Solve for x
    x = 362,497,316,006.25/453,874.50
  6. Step 6: Final answer
    x = 798,673.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.