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Finding the Third Proportional to 612,756 and 882,550

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Solution

The third proportional to 612,756 and 882,550 is: 1,271,133.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,756 : 882,550 = 882,550 : x
  2. Step 2: Convert to fraction form
    612,756/882,550 = 882,550/x
  3. Step 3: Cross multiply
    612,756x = 882,550 × 882,550
  4. Step 4: Simplify right side
    612,756x = 778,894,502,500
  5. Step 5: Solve for x
    x = 778,894,502,500/612,756
  6. Step 6: Final answer
    x = 1,271,133.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.