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Finding the Third Proportional to 294,552 and 630,768

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Solution

The third proportional to 294,552 and 630,768 is: 1,350,757.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,552 : 630,768 = 630,768 : x
  2. Step 2: Convert to fraction form
    294,552/630,768 = 630,768/x
  3. Step 3: Cross multiply
    294,552x = 630,768 × 630,768
  4. Step 4: Simplify right side
    294,552x = 397,868,269,824
  5. Step 5: Solve for x
    x = 397,868,269,824/294,552
  6. Step 6: Final answer
    x = 1,350,757.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.