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Finding the Third Proportional to 281,637.75 and 586,572

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Solution

The third proportional to 281,637.75 and 586,572 is: 1,221,664.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,637.75 : 586,572 = 586,572 : x
  2. Step 2: Convert to fraction form
    281,637.75/586,572 = 586,572/x
  3. Step 3: Cross multiply
    281,637.75x = 586,572 × 586,572
  4. Step 4: Simplify right side
    281,637.75x = 344,066,711,184
  5. Step 5: Solve for x
    x = 344,066,711,184/281,637.75
  6. Step 6: Final answer
    x = 1,221,664.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.