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Finding the Third Proportional to 229,572 and 486,933

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Solution

The third proportional to 229,572 and 486,933 is: 1,032,807.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,572 : 486,933 = 486,933 : x
  2. Step 2: Convert to fraction form
    229,572/486,933 = 486,933/x
  3. Step 3: Cross multiply
    229,572x = 486,933 × 486,933
  4. Step 4: Simplify right side
    229,572x = 237,103,746,489
  5. Step 5: Solve for x
    x = 237,103,746,489/229,572
  6. Step 6: Final answer
    x = 1,032,807.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.