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Finding the Third Proportional to 418,621.50 and 881,712

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Solution

The third proportional to 418,621.50 and 881,712 is: 1,857,085.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,621.50 : 881,712 = 881,712 : x
  2. Step 2: Convert to fraction form
    418,621.50/881,712 = 881,712/x
  3. Step 3: Cross multiply
    418,621.50x = 881,712 × 881,712
  4. Step 4: Simplify right side
    418,621.50x = 777,416,050,944
  5. Step 5: Solve for x
    x = 777,416,050,944/418,621.50
  6. Step 6: Final answer
    x = 1,857,085.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.