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Finding the Third Proportional to 283,748 and 609,310

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Solution

The third proportional to 283,748 and 609,310 is: 1,308,409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,748 : 609,310 = 609,310 : x
  2. Step 2: Convert to fraction form
    283,748/609,310 = 609,310/x
  3. Step 3: Cross multiply
    283,748x = 609,310 × 609,310
  4. Step 4: Simplify right side
    283,748x = 371,258,676,100
  5. Step 5: Solve for x
    x = 371,258,676,100/283,748
  6. Step 6: Final answer
    x = 1,308,409.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.