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Finding the Third Proportional to 223,528 and 484,910

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Solution

The third proportional to 223,528 and 484,910 is: 1,051,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,528 : 484,910 = 484,910 : x
  2. Step 2: Convert to fraction form
    223,528/484,910 = 484,910/x
  3. Step 3: Cross multiply
    223,528x = 484,910 × 484,910
  4. Step 4: Simplify right side
    223,528x = 235,137,708,100
  5. Step 5: Solve for x
    x = 235,137,708,100/223,528
  6. Step 6: Final answer
    x = 1,051,938.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.