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Finding the Third Proportional to 420,114.38 and 645,746.06

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Solution

The third proportional to 420,114.38 and 645,746.06 is: 992,558.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,114.38 : 645,746.06 = 645,746.06 : x
  2. Step 2: Convert to fraction form
    420,114.38/645,746.06 = 645,746.06/x
  3. Step 3: Cross multiply
    420,114.38x = 645,746.06 × 645,746.06
  4. Step 4: Simplify right side
    420,114.38x = 416,987,977,234.25
  5. Step 5: Solve for x
    x = 416,987,977,234.25/420,114.38
  6. Step 6: Final answer
    x = 992,558.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.