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Finding the Third Proportional to 452,702.25 and 679,107.38

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Solution

The third proportional to 452,702.25 and 679,107.38 is: 1,018,742.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,702.25 : 679,107.38 = 679,107.38 : x
  2. Step 2: Convert to fraction form
    452,702.25/679,107.38 = 679,107.38/x
  3. Step 3: Cross multiply
    452,702.25x = 679,107.38 × 679,107.38
  4. Step 4: Simplify right side
    452,702.25x = 461,186,826,779.39
  5. Step 5: Solve for x
    x = 461,186,826,779.39/452,702.25
  6. Step 6: Final answer
    x = 1,018,742.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.