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Finding the Third Proportional to 286,466 and 630,132

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Solution

The third proportional to 286,466 and 630,132 is: 1,386,085.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,466 : 630,132 = 630,132 : x
  2. Step 2: Convert to fraction form
    286,466/630,132 = 630,132/x
  3. Step 3: Cross multiply
    286,466x = 630,132 × 630,132
  4. Step 4: Simplify right side
    286,466x = 397,066,337,424
  5. Step 5: Solve for x
    x = 397,066,337,424/286,466
  6. Step 6: Final answer
    x = 1,386,085.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.