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Finding the Third Proportional to 223,316 and 486,718

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Solution

The third proportional to 223,316 and 486,718 is: 1,060,803.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,316 : 486,718 = 486,718 : x
  2. Step 2: Convert to fraction form
    223,316/486,718 = 486,718/x
  3. Step 3: Cross multiply
    223,316x = 486,718 × 486,718
  4. Step 4: Simplify right side
    223,316x = 236,894,411,524
  5. Step 5: Solve for x
    x = 236,894,411,524/223,316
  6. Step 6: Final answer
    x = 1,060,803.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.