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Finding the Third Proportional to 295,532 and 630,376

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Solution

The third proportional to 295,532 and 630,376 is: 1,344,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,532 : 630,376 = 630,376 : x
  2. Step 2: Convert to fraction form
    295,532/630,376 = 630,376/x
  3. Step 3: Cross multiply
    295,532x = 630,376 × 630,376
  4. Step 4: Simplify right side
    295,532x = 397,373,901,376
  5. Step 5: Solve for x
    x = 397,373,901,376/295,532
  6. Step 6: Final answer
    x = 1,344,605.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.