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Finding the Third Proportional to 358,770 and 761,274

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Solution

The third proportional to 358,770 and 761,274 is: 1,615,347.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,770 : 761,274 = 761,274 : x
  2. Step 2: Convert to fraction form
    358,770/761,274 = 761,274/x
  3. Step 3: Cross multiply
    358,770x = 761,274 × 761,274
  4. Step 4: Simplify right side
    358,770x = 579,538,103,076
  5. Step 5: Solve for x
    x = 579,538,103,076/358,770
  6. Step 6: Final answer
    x = 1,615,347.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.