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Finding the Third Proportional to 288,292 and 630,888

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Solution

The third proportional to 288,292 and 630,888 is: 1,380,612.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,292 : 630,888 = 630,888 : x
  2. Step 2: Convert to fraction form
    288,292/630,888 = 630,888/x
  3. Step 3: Cross multiply
    288,292x = 630,888 × 630,888
  4. Step 4: Simplify right side
    288,292x = 398,019,668,544
  5. Step 5: Solve for x
    x = 398,019,668,544/288,292
  6. Step 6: Final answer
    x = 1,380,612.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.