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Finding the Third Proportional to 361,282 and 794,070

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Solution

The third proportional to 361,282 and 794,070 is: 1,745,304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,282 : 794,070 = 794,070 : x
  2. Step 2: Convert to fraction form
    361,282/794,070 = 794,070/x
  3. Step 3: Cross multiply
    361,282x = 794,070 × 794,070
  4. Step 4: Simplify right side
    361,282x = 630,547,164,900
  5. Step 5: Solve for x
    x = 630,547,164,900/361,282
  6. Step 6: Final answer
    x = 1,745,304.68

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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.