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Finding the Third Proportional to 281,570 and 607,492

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Solution

The third proportional to 281,570 and 607,492 is: 1,310,674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,570 : 607,492 = 607,492 : x
  2. Step 2: Convert to fraction form
    281,570/607,492 = 607,492/x
  3. Step 3: Cross multiply
    281,570x = 607,492 × 607,492
  4. Step 4: Simplify right side
    281,570x = 369,046,530,064
  5. Step 5: Solve for x
    x = 369,046,530,064/281,570
  6. Step 6: Final answer
    x = 1,310,674.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.