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Finding the Third Proportional to 292,068.38 and 630,846.38

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Solution

The third proportional to 292,068.38 and 630,846.38 is: 1,362,582.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,068.38 : 630,846.38 = 630,846.38 : x
  2. Step 2: Convert to fraction form
    292,068.38/630,846.38 = 630,846.38/x
  3. Step 3: Cross multiply
    292,068.38x = 630,846.38 × 630,846.38
  4. Step 4: Simplify right side
    292,068.38x = 397,967,148,850.64
  5. Step 5: Solve for x
    x = 397,967,148,850.64/292,068.38
  6. Step 6: Final answer
    x = 1,362,582.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.