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Finding the Third Proportional to 295,613.63 and 450,801.38

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Solution

The third proportional to 295,613.63 and 450,801.38 is: 687,457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,613.63 : 450,801.38 = 450,801.38 : x
  2. Step 2: Convert to fraction form
    295,613.63/450,801.38 = 450,801.38/x
  3. Step 3: Cross multiply
    295,613.63x = 450,801.38 × 450,801.38
  4. Step 4: Simplify right side
    295,613.63x = 203,221,879,701.89
  5. Step 5: Solve for x
    x = 203,221,879,701.89/295,613.63
  6. Step 6: Final answer
    x = 687,457.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.