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Finding the Third Proportional to 292,944 and 630,048

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Solution

The third proportional to 292,944 and 630,048 is: 1,355,072.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,944 : 630,048 = 630,048 : x
  2. Step 2: Convert to fraction form
    292,944/630,048 = 630,048/x
  3. Step 3: Cross multiply
    292,944x = 630,048 × 630,048
  4. Step 4: Simplify right side
    292,944x = 396,960,482,304
  5. Step 5: Solve for x
    x = 396,960,482,304/292,944
  6. Step 6: Final answer
    x = 1,355,072.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.