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Finding the Third Proportional to 281,536 and 607,358

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Solution

The third proportional to 281,536 and 607,358 is: 1,310,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,536 : 607,358 = 607,358 : x
  2. Step 2: Convert to fraction form
    281,536/607,358 = 607,358/x
  3. Step 3: Cross multiply
    281,536x = 607,358 × 607,358
  4. Step 4: Simplify right side
    281,536x = 368,883,740,164
  5. Step 5: Solve for x
    x = 368,883,740,164/281,536
  6. Step 6: Final answer
    x = 1,310,254.25

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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.