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Finding the Third Proportional to 268,726 and 586,572

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Solution

The third proportional to 268,726 and 586,572 is: 1,280,362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,726 : 586,572 = 586,572 : x
  2. Step 2: Convert to fraction form
    268,726/586,572 = 586,572/x
  3. Step 3: Cross multiply
    268,726x = 586,572 × 586,572
  4. Step 4: Simplify right side
    268,726x = 344,066,711,184
  5. Step 5: Solve for x
    x = 344,066,711,184/268,726
  6. Step 6: Final answer
    x = 1,280,362.57

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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.